diff --git a/test/system/075-exec.bats b/test/system/075-exec.bats
index a4fe16664c..f24d34d534 100644
--- a/test/system/075-exec.bats
+++ b/test/system/075-exec.bats
@@ -148,14 +148,21 @@ load helpers
 }
 
 @test "podman run umask" {
-    test "$(podman_runtime)" == "crun" \
-        || skip "FIXME: runtime is $(podman_runtime); this test requires crun or runc 1.1.7 or newer which is not currently in debian"
     umask="0724"
     run_podman run --rm -q $IMAGE grep Umask /proc/self/status
     is "$output" "Umask:.*0022" "default_umask should not be modified"
 
     run_podman run -q --rm --umask $umask $IMAGE grep Umask /proc/self/status
     is "$output" "Umask:.*$umask" "umask should be modified"
+
+    # FIXME: even in December 2023, exec test fails with Debian runc (1.1.10).
+    # And even if we some day get a fixed version on Debian, these tests have
+    # to pass on RHEL, and we have no control over runc version there.
+    if [[ "$(podman_runtime)" == "runc" ]]; then
+        echo "# Passed run test; skipping exec because runtime != crun" >&3
+        return
+    fi
+
     run_podman run -q -d --umask $umask $IMAGE sleep inf
     cid=$output
     run_podman exec $cid grep Umask /proc/self/status
diff --git a/test/utils/matchers.go b/test/utils/matchers.go
index 731843f04e..b4aa7fbaff 100644
--- a/test/utils/matchers.go
+++ b/test/utils/matchers.go
@@ -199,13 +199,6 @@ func (matcher *exitCleanlyMatcher) Match(actual interface{}) (success bool, err
 	}
 
 	// Exit status is 0. Now check for anything on stderr... except:
-
-	if Containerized() {
-		// FIXME: #19809, "failed to connect to syslog" warnings on f38
-		// FIXME: so, until that is fixed, don't check stderr if containerized
-		return true, nil
-	}
-
 	info := GetHostDistributionInfo()
 	if info.Distribution != "fedora" {
 		// runc on debian: