diff --git a/pkg/ccl/backupccl/file_sst_sink.go b/pkg/ccl/backupccl/file_sst_sink.go
index 03dab88aba95..5c3d669db333 100644
--- a/pkg/ccl/backupccl/file_sst_sink.go
+++ b/pkg/ccl/backupccl/file_sst_sink.go
@@ -283,8 +283,8 @@ func (s *fileSSTSink) write(ctx context.Context, resp exportedSpan) (roachpb.Key
 	} else if len(s.flushedFiles) > 0 {
 		last := s.flushedFiles[len(s.flushedFiles)-1]
 		extend = last.Span.EndKey.Equal(span.Key) &&
-			last.EndTime.EqOrdering(resp.metadata.EndTime) &&
-			last.StartTime.EqOrdering(resp.metadata.StartTime) &&
+			last.EndTime == resp.metadata.EndTime &&
+			last.StartTime == resp.metadata.StartTime &&
 			last.EntryCounts.DataSize < fileSpanByteLimit
 	}
 
diff --git a/pkg/ccl/changefeedccl/changefeed_processors.go b/pkg/ccl/changefeedccl/changefeed_processors.go
index 9f58f2842b1c..fb448ad1d2be 100644
--- a/pkg/ccl/changefeedccl/changefeed_processors.go
+++ b/pkg/ccl/changefeedccl/changefeed_processors.go
@@ -461,7 +461,7 @@ func (ca *changeAggregator) makeKVFeedCfg(
 	filters := config.Opts.GetFilters()
 	cfg := ca.FlowCtx.Cfg
 
-	initialScanOnly := config.EndTime.EqOrdering(initialHighWater)
+	initialScanOnly := config.EndTime == initialHighWater
 	var sf schemafeed.SchemaFeed
 
 	if schemaChange.Policy == changefeedbase.OptSchemaChangePolicyIgnore || initialScanOnly {
diff --git a/pkg/ccl/changefeedccl/changefeed_test.go b/pkg/ccl/changefeedccl/changefeed_test.go
index 053c3b5db10f..a40bcab649be 100644
--- a/pkg/ccl/changefeedccl/changefeed_test.go
+++ b/pkg/ccl/changefeedccl/changefeed_test.go
@@ -2128,7 +2128,7 @@ func TestChangefeedLaggingSpanCheckpointing(t *testing.T) {
 	// (this is mostly due to racy updates sent from aggregators to the frontier.
 	// However, the checkpoint timestamp should be at least at the cursor.
 	progress := loadProgress()
-	require.True(t, progress.GetHighWater().IsEmpty() || progress.GetHighWater().EqOrdering(cursor),
+	require.True(t, progress.GetHighWater().IsEmpty() || *progress.GetHighWater() == cursor,
 		"expected empty highwater or %s,  found %s", cursor, progress.GetHighWater())
 	require.NotNil(t, progress.GetChangefeed().Checkpoint)
 	require.Less(t, 0, len(progress.GetChangefeed().Checkpoint.Spans))
@@ -7513,7 +7513,7 @@ func TestChangefeedEndTimeWithCursor(t *testing.T) {
 		// event with end_time timestamp.  That is: verify frontier.Frontier() is at end_time.
 		expectedFrontier := endTime.Prev()
 		testutils.SucceedsWithin(t, func() error {
-			if expectedFrontier.EqOrdering(frontier.Frontier()) {
+			if expectedFrontier == frontier.Frontier() {
 				return nil
 			}
 			return errors.Newf("still waiting for frontier to reach %s, current %s",
diff --git a/pkg/ccl/changefeedccl/kvfeed/kv_feed.go b/pkg/ccl/changefeedccl/kvfeed/kv_feed.go
index 4080d61f21fc..d5a6a0c5fb26 100644
--- a/pkg/ccl/changefeedccl/kvfeed/kv_feed.go
+++ b/pkg/ccl/changefeedccl/kvfeed/kv_feed.go
@@ -330,7 +330,7 @@ func (f *kvFeed) run(ctx context.Context) (err error) {
 
 	for i := 0; ; i++ {
 		initialScan := i == 0
-		initialScanOnly := f.endTime.EqOrdering(f.initialHighWater)
+		initialScanOnly := f.endTime == f.initialHighWater
 		scannedSpans, scannedTS, err := f.scanIfShould(ctx, initialScan, initialScanOnly, rangeFeedResumeFrontier.Frontier())
 		if err != nil {
 			return err
@@ -754,7 +754,7 @@ func copyFromSourceToDestUntilTableEvent(
 					return false, false, err
 				}
 
-				return skipEvent, frontier.Frontier().EqOrdering(boundaryResolvedTimestamp), nil
+				return skipEvent, frontier.Frontier() == boundaryResolvedTimestamp, nil
 			case kvevent.TypeFlush:
 				// TypeFlush events have a timestamp of zero and should have already
 				// been processed by the timestamp check above. We include this here
diff --git a/pkg/kv/kvserver/batcheval/cmd_refresh_range.go b/pkg/kv/kvserver/batcheval/cmd_refresh_range.go
index 43306c8e1bd5..bb602171e4b7 100644
--- a/pkg/kv/kvserver/batcheval/cmd_refresh_range.go
+++ b/pkg/kv/kvserver/batcheval/cmd_refresh_range.go
@@ -135,7 +135,7 @@ func refreshRange(
 				} else if !ok {
 					return errors.Errorf("expected provisional value for intent")
 				}
-				if !meta.Timestamp.ToTimestamp().EqOrdering(iter.UnsafeKey().Timestamp) {
+				if meta.Timestamp.ToTimestamp() != iter.UnsafeKey().Timestamp {
 					return errors.Errorf("expected provisional value for intent with ts %s, found %s",
 						meta.Timestamp, iter.UnsafeKey().Timestamp)
 				}
diff --git a/pkg/kv/kvserver/liveness/livenesspb/liveness.go b/pkg/kv/kvserver/liveness/livenesspb/liveness.go
index eeb94c73bce4..5ba3eb36409d 100644
--- a/pkg/kv/kvserver/liveness/livenesspb/liveness.go
+++ b/pkg/kv/kvserver/liveness/livenesspb/liveness.go
@@ -58,7 +58,7 @@ func (l Liveness) Compare(o Liveness) int {
 		}
 		return +1
 	}
-	if !l.Expiration.EqOrdering(o.Expiration) {
+	if l.Expiration != o.Expiration {
 		if l.Expiration.Less(o.Expiration) {
 			return -1
 		}
diff --git a/pkg/kv/kvserver/rangefeed/catchup_scan.go b/pkg/kv/kvserver/rangefeed/catchup_scan.go
index aaee93a67d73..4b2940fcd1db 100644
--- a/pkg/kv/kvserver/rangefeed/catchup_scan.go
+++ b/pkg/kv/kvserver/rangefeed/catchup_scan.go
@@ -266,7 +266,7 @@ func (i *CatchUpIterator) CatchUpScan(
 			} else if !ok {
 				return errors.Errorf("expected provisional value for intent")
 			}
-			if !meta.Timestamp.ToTimestamp().EqOrdering(i.UnsafeKey().Timestamp) {
+			if meta.Timestamp.ToTimestamp() != i.UnsafeKey().Timestamp {
 				return errors.Errorf("expected provisional value for intent with ts %s, found %s",
 					meta.Timestamp, i.UnsafeKey().Timestamp)
 			}
diff --git a/pkg/kv/kvserver/rangefeed/resolved_timestamp.go b/pkg/kv/kvserver/rangefeed/resolved_timestamp.go
index ad9689a8721e..20faf2c6169d 100644
--- a/pkg/kv/kvserver/rangefeed/resolved_timestamp.go
+++ b/pkg/kv/kvserver/rangefeed/resolved_timestamp.go
@@ -280,7 +280,7 @@ func (rts *resolvedTimestamp) recompute(ctx context.Context) bool {
 func (rts *resolvedTimestamp) assertNoChange(ctx context.Context) {
 	before := rts.resolvedTS
 	changed := rts.recompute(ctx)
-	if changed || !before.EqOrdering(rts.resolvedTS) {
+	if changed || before != rts.resolvedTS {
 		log.Fatalf(ctx, "unexpected resolved timestamp change on recomputation, "+
 			"was %s, recomputed as %s", before, rts.resolvedTS)
 	}
@@ -374,7 +374,7 @@ func (h unresolvedTxnHeap) Less(i, j int) bool {
 	// container/heap constructs a min-heap by default, so prioritize the txn
 	// with the smaller timestamp. Break ties by comparing IDs to establish a
 	// total order.
-	if h[i].timestamp.EqOrdering(h[j].timestamp) {
+	if h[i].timestamp == h[j].timestamp {
 		return bytes.Compare(h[i].txnID.GetBytes(), h[j].txnID.GetBytes()) < 0
 	}
 	return h[i].timestamp.Less(h[j].timestamp)
diff --git a/pkg/kv/kvserver/readsummary/rspb/summary.go b/pkg/kv/kvserver/readsummary/rspb/summary.go
index 37d512df1215..074706929e64 100644
--- a/pkg/kv/kvserver/readsummary/rspb/summary.go
+++ b/pkg/kv/kvserver/readsummary/rspb/summary.go
@@ -95,7 +95,7 @@ func (c *Segment) Clone() Segment {
 // commutative and idempotent.
 func (c *Segment) Merge(o Segment) {
 	// Forward the low water mark.
-	if !c.LowWater.EqOrdering(o.LowWater) {
+	if c.LowWater != o.LowWater {
 		if c.LowWater.Less(o.LowWater) {
 			// c.LowWater < o.LowWater, filter c.ReadSpans.
 			c.ReadSpans = filterSpans(c.ReadSpans, o.LowWater)
diff --git a/pkg/kv/kvserver/store_test.go b/pkg/kv/kvserver/store_test.go
index 492a4462c373..a48de7dfdf70 100644
--- a/pkg/kv/kvserver/store_test.go
+++ b/pkg/kv/kvserver/store_test.go
@@ -2174,11 +2174,11 @@ func TestStoreSkipLockedTSCache(t *testing.T) {
 			// Verify the timestamp cache has been set for "a" and "c", but not for "b".
 			t2TS := makeTS(t2.UnixNano(), 0)
 			rTS, _ := store.tsCache.GetMax(ctx, roachpb.Key("a"), nil)
-			require.True(t, rTS.EqOrdering(t2TS))
+			require.Equal(t, t2TS, rTS)
 			rTS, _ = store.tsCache.GetMax(ctx, roachpb.Key("b"), nil)
 			require.True(t, rTS.Less(t2TS))
 			rTS, _ = store.tsCache.GetMax(ctx, roachpb.Key("c"), nil)
-			require.True(t, rTS.EqOrdering(t2TS))
+			require.Equal(t, t2TS, rTS)
 		})
 	}
 }
diff --git a/pkg/sql/conn_executor_test.go b/pkg/sql/conn_executor_test.go
index c73e41d3c823..bebdd71d1730 100644
--- a/pkg/sql/conn_executor_test.go
+++ b/pkg/sql/conn_executor_test.go
@@ -1337,7 +1337,7 @@ CREATE TABLE t1.test (k INT PRIMARY KEY, v TEXT);
 		}
 		err = txn.Commit()
 		require.NoError(t, err)
-		locked(func() { require.True(t, fs.Expiration().EqOrdering(mu.txnDeadline)) })
+		locked(func() { require.Equal(t, fs.Expiration(), mu.txnDeadline) })
 	})
 
 	t.Run("lease_deadline_overrides_session_expiry", func(t *testing.T) {
diff --git a/pkg/sql/sem/asof/as_of.go b/pkg/sql/sem/asof/as_of.go
index 7f82dd78e724..ee37b31e3eec 100644
--- a/pkg/sql/sem/asof/as_of.go
+++ b/pkg/sql/sem/asof/as_of.go
@@ -293,7 +293,7 @@ func DatumToHLC(
 		return ts, convErr
 	}
 	zero := hlc.Timestamp{}
-	if ts.EqOrdering(zero) {
+	if ts == zero {
 		return ts, errors.Errorf("zero timestamp is invalid")
 	} else if ts.Less(zero) {
 		return ts, errors.Errorf("timestamp before 1970-01-01T00:00:00Z is invalid")
diff --git a/pkg/storage/mvcc.go b/pkg/storage/mvcc.go
index d9253c18858b..dc129f7b3966 100644
--- a/pkg/storage/mvcc.go
+++ b/pkg/storage/mvcc.go
@@ -1439,7 +1439,7 @@ func MVCCGetForKnownTimestampWithNoIntent(
 	if val == nil {
 		return nil, enginepb.MVCCValueHeader{}, errors.Errorf("value missing for key %v", key)
 	}
-	if !val.Timestamp.EqOrdering(timestamp) {
+	if val.Timestamp != timestamp {
 		return nil, enginepb.MVCCValueHeader{}, errors.Errorf(
 			"expected timestamp %v and found %v for key %v", timestamp, val.Timestamp, key)
 	}
diff --git a/pkg/storage/mvcc_incremental_iterator.go b/pkg/storage/mvcc_incremental_iterator.go
index 4f6320d6e80c..3263ad59975a 100644
--- a/pkg/storage/mvcc_incremental_iterator.go
+++ b/pkg/storage/mvcc_incremental_iterator.go
@@ -915,7 +915,7 @@ func (i *MVCCIncrementalIterator) assertInvariants() error {
 	// i.meta should match the underlying iterator's key.
 	if hasPoint, _ := i.iter.HasPointAndRange(); hasPoint {
 		metaTS := i.meta.Timestamp.ToTimestamp()
-		if iterKey.Timestamp.IsSet() && !metaTS.EqOrdering(iterKey.Timestamp) {
+		if iterKey.Timestamp.IsSet() && metaTS != iterKey.Timestamp {
 			return errors.AssertionFailedf("i.meta.Timestamp %s differs from i.iter.UnsafeKey %s",
 				metaTS, iterKey)
 		}
diff --git a/pkg/storage/mvcc_key.go b/pkg/storage/mvcc_key.go
index 77d72e2e015e..429767fb08fb 100644
--- a/pkg/storage/mvcc_key.go
+++ b/pkg/storage/mvcc_key.go
@@ -116,7 +116,7 @@ func (k MVCCKey) Less(l MVCCKey) bool {
 
 // Equal returns whether two keys are identical.
 func (k MVCCKey) Equal(l MVCCKey) bool {
-	return k.Key.Compare(l.Key) == 0 && k.Timestamp.EqOrdering(l.Timestamp)
+	return k.Key.Compare(l.Key) == 0 && k.Timestamp == l.Timestamp
 }
 
 // IsValue returns true iff the timestamp is non-zero.
diff --git a/pkg/storage/pebble_mvcc_scanner.go b/pkg/storage/pebble_mvcc_scanner.go
index e57021b0d91e..4d3ea65695ff 100644
--- a/pkg/storage/pebble_mvcc_scanner.go
+++ b/pkg/storage/pebble_mvcc_scanner.go
@@ -829,7 +829,7 @@ func (p *pebbleMVCCScanner) getOne(ctx context.Context) (ok, added bool) {
 		}
 
 		// ts == read_ts
-		if p.curUnsafeKey.Timestamp.EqOrdering(p.ts) {
+		if p.curUnsafeKey.Timestamp == p.ts {
 			if p.failOnMoreRecent {
 				// 2. Our txn's read timestamp is equal to the most recent
 				// version's timestamp and the scanner has been configured to
diff --git a/pkg/util/hlc/timestamp.go b/pkg/util/hlc/timestamp.go
index 677acdd4755b..c601253a8d69 100644
--- a/pkg/util/hlc/timestamp.go
+++ b/pkg/util/hlc/timestamp.go
@@ -318,11 +318,6 @@ func (t Timestamp) ToLegacyTimestamp() LegacyTimestamp { return LegacyTimestamp(
 // ToTimestamp converts a LegacyTimestamp to a Timestamp.
 func (t LegacyTimestamp) ToTimestamp() Timestamp { return Timestamp(t) }
 
-// EqOrdering returns whether the receiver sorts equally to the parameter.
-func (t LegacyTimestamp) EqOrdering(s LegacyTimestamp) bool {
-	return t.ToTimestamp().EqOrdering(s.ToTimestamp())
-}
-
 // Less returns whether the receiver is less than the parameter.
 func (t LegacyTimestamp) Less(s LegacyTimestamp) bool {
 	return t.ToTimestamp().Less(s.ToTimestamp())
diff --git a/pkg/util/hlc/timestamp_test.go b/pkg/util/hlc/timestamp_test.go
index 60a7c7345204..201a45acf161 100644
--- a/pkg/util/hlc/timestamp_test.go
+++ b/pkg/util/hlc/timestamp_test.go
@@ -56,22 +56,6 @@ func TestCompare(t *testing.T) {
 	}
 }
 
-func TestEqOrdering(t *testing.T) {
-	a := Timestamp{}
-	b := Timestamp{}
-	if !a.EqOrdering(b) {
-		t.Errorf("expected %+v == %+v", a, b)
-	}
-	b = makeTS(1, 0)
-	if a.EqOrdering(b) {
-		t.Errorf("expected %+v != %+v", a, b)
-	}
-	a = makeTS(1, 1)
-	if a.EqOrdering(b) {
-		t.Errorf("expected %+v != %+v", b, a)
-	}
-}
-
 func TestLess(t *testing.T) {
 	a := Timestamp{}
 	b := Timestamp{}
diff --git a/pkg/util/span/frontier.go b/pkg/util/span/frontier.go
index d4edd4dc2991..b7d6e0cfc7f9 100644
--- a/pkg/util/span/frontier.go
+++ b/pkg/util/span/frontier.go
@@ -699,7 +699,7 @@ func (h frontierHeap) Len() int { return len(h) }
 
 // Less implements heap.Interface.
 func (h frontierHeap) Less(i, j int) bool {
-	if h[i].ts.EqOrdering(h[j].ts) {
+	if h[i].ts == h[j].ts {
 		return h[i].Start.Compare(h[j].Start) < 0
 	}
 	return h[i].ts.Less(h[j].ts)
diff --git a/pkg/util/span/llrb_frontier.go b/pkg/util/span/llrb_frontier.go
index 566d553f9142..4f2d7dd199a6 100644
--- a/pkg/util/span/llrb_frontier.go
+++ b/pkg/util/span/llrb_frontier.go
@@ -60,7 +60,7 @@ func (h llrbFrontierHeap) Len() int { return len(h) }
 
 // Less implements heap.Interface.
 func (h llrbFrontierHeap) Less(i, j int) bool {
-	if h[i].ts.EqOrdering(h[j].ts) {
+	if h[i].ts == h[j].ts {
 		return h[i].span.Key.Compare(h[j].span.Key) < 0
 	}
 	return h[i].ts.Less(h[j].ts)