diff --git a/base/array.jl b/base/array.jl
index 694a3913cacf4..7a923cc2ab608 100644
--- a/base/array.jl
+++ b/base/array.jl
@@ -168,8 +168,7 @@ julia> Base.isbitsunion(Union{Float64, String})
 false
 ```
 """
-isbitsunion(u::Union) = allocatedinline(u)
-isbitsunion(x) = false
+isbitsunion(@nospecialize x) = isa(x, Union) && allocatedinline(x)
 
 function _unsetindex!(A::Array{T}, i::Int) where {T}
     @inline
diff --git a/base/compiler/typeutils.jl b/base/compiler/typeutils.jl
index 0950150637b0a..312f1680d0b91 100644
--- a/base/compiler/typeutils.jl
+++ b/base/compiler/typeutils.jl
@@ -17,14 +17,16 @@ function hasuniquerep(@nospecialize t)
     isa(t, TypeVar) && return false # TypeVars are identified by address, not equality
     iskindtype(typeof(t)) || return true # non-types are always compared by egal in the type system
     isconcretetype(t) && return true # these are also interned and pointer comparable
-    if isa(t, DataType) && t.name !== Tuple.name && !isvarargtype(t) # invariant DataTypes
-        return _all(hasuniquerep, t.parameters)
+    if isa(t, Union)
+        return hasuniquerep(t.a) && hasuniquerep(t.b)
+    elseif isa(t, DataType) && t.name !== Tuple.name && !isvarargtype(t) # invariant DataTypes
+        return all(hasuniquerep, t.parameters)
     end
     return false
 end
 
 """
-    isTypeDataType(@nospecialize t) -> Bool
+    isTypeDataType(t) -> Bool
 
 For a type `t` test whether ∀S s.t. `isa(S, rewrap_unionall(Type{t}, ...))`,
 we have `isa(S, DataType)`. In particular, if a statement is typed as `Type{t}`
diff --git a/test/compiler/inference.jl b/test/compiler/inference.jl
index 5adc1a0dc6c4c..c51bb243556cc 100644
--- a/test/compiler/inference.jl
+++ b/test/compiler/inference.jl
@@ -4709,3 +4709,8 @@ end
 @Base.constprop :aggressive type_level_recurse2(x...) = type_level_recurse1(x...)
 type_level_recurse_entry() = Val{type_level_recurse1(1)}()
 @test Base.return_types(type_level_recurse_entry, ()) |> only == Val{1}
+
+# `isconstType` for `Union`-types
+@test Base.return_types((Type{Union{Int,UInt}},)) do T
+    Base.allocatedinline(T) ? nothing : missing
+end |> only === Nothing