diff --git a/libcxx/include/__algorithm/three_way_comp_ref_type.h b/libcxx/include/__algorithm/three_way_comp_ref_type.h
--- a/libcxx/include/__algorithm/three_way_comp_ref_type.h
+++ b/libcxx/include/__algorithm/three_way_comp_ref_type.h
@@ -13,6 +13,7 @@
 #include <__config>
 #include <__debug>
 #include <__utility/declval.h>
+#include <__utility/forward.h>
 
 #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
 #  pragma GCC system_header
@@ -28,8 +29,8 @@
   _LIBCPP_HIDE_FROM_ABI constexpr __debug_three_way_comp(_Comp& __c) : __comp_(__c) {}
 
   template <class _Tp, class _Up>
-  _LIBCPP_HIDE_FROM_ABI constexpr auto operator()(_Tp& __x, _Up& __y) {
-    auto __r = __comp_(__x, __y);
+  _LIBCPP_HIDE_FROM_ABI constexpr auto operator()(_Tp&& __x, _Up&& __y) {
+    auto __r = __comp_(std::forward<_Tp>(__x), std::forward<_Up>(__y));
     __do_compare_assert(0, __y, __x, __r);
     return __r;
   }
@@ -55,7 +56,7 @@
 
 // Pass the comparator by lvalue reference. Or in debug mode, using a
 // debugging wrapper that stores a reference.
-#  ifndef _LIBCPP_ENABLE_DEBUG_MODE
+#  ifdef _LIBCPP_ENABLE_DEBUG_MODE
 template <class _Comp>
 using __three_way_comp_ref_type = __debug_three_way_comp<_Comp>;
 #  else
diff --git a/libcxx/test/std/algorithms/alg.sorting/alg.three.way/lexicographical_compare_three_way_comp.pass.cpp b/libcxx/test/std/algorithms/alg.sorting/alg.three.way/lexicographical_compare_three_way_comp.pass.cpp
--- a/libcxx/test/std/algorithms/alg.sorting/alg.three.way/lexicographical_compare_three_way_comp.pass.cpp
+++ b/libcxx/test/std/algorithms/alg.sorting/alg.three.way/lexicographical_compare_three_way_comp.pass.cpp
@@ -16,15 +16,15 @@
 //                                       Cmp comp)
 //       -> decltype(comp(*b1, *b2));
 
-#include <array>
 #include <algorithm>
+#include <array>
 #include <cassert>
 #include <compare>
 #include <concepts>
 #include <limits>
 
-#include "test_macros.h"
 #include "test_iterators.h"
+#include "test_macros.h"
 
 using std::array;
 
@@ -155,7 +155,11 @@
   // The comparator is invoked only `min(left.size(), right.size())` times
   test_lexicographical_compare<const int*, const int*>(
       std::array{0, 1, 2}, std::array{0, 1, 2, 3}, compare_last_digit_counting, std::strong_ordering::less);
-  assert(compare_invocation_count == 3);
+#ifdef _LIBCPP_ENABLE_DEBUG_MODE
+  assert(compare_invocation_count <= 6);
+#else
+  assert(compare_invocation_count <= 3);
+#endif
 }
 
 constexpr bool test() {