diff --git a/toolchain/check/deduce.cpp b/toolchain/check/deduce.cpp
index 8036a7b71138..5040f544c2bc 100644
--- a/toolchain/check/deduce.cpp
+++ b/toolchain/check/deduce.cpp
@@ -511,11 +511,10 @@ auto DeductionContext::Deduce() -> bool {
 static auto GetEntityNameForGenericBinding(Context& context,
                                            SemIR::InstId binding_id)
     -> SemIR::NameId {
-  // If `binding_id` is imported, it may not have an entity name. Get a
-  // canonical local instruction from its constant value which does.
-  if (context.insts().Is<SemIR::ImportRefLoaded>(binding_id)) {
-    binding_id = context.constant_values().GetConstantInstId(binding_id);
-  }
+  // If `binding_id` is imported (or referenced indirectly perhaps in the
+  // future), it may not have an entity name. Get a canonical local instruction
+  // from its constant value which does.
+  binding_id = context.constant_values().GetConstantInstId(binding_id);
 
   if (auto bind_name =
           context.insts().TryGetAs<SemIR::AnyBindName>(binding_id)) {