diff --git a/mypy/plugins/enums.py b/mypy/plugins/enums.py
index 8b7c5df6f51f..35338d091559 100644
--- a/mypy/plugins/enums.py
+++ b/mypy/plugins/enums.py
@@ -184,7 +184,7 @@ class SomeEnum:
             if _implements_new(info):
                 return ctx.default_attr_type
 
-            stnodes = (info.get(name) for name in info.names)
+            stnodes = (info.get(name) for name in info.enum_members)
 
             # Enums _can_ have methods, instance attributes, and `nonmember`s.
             # Omit methods and attributes created by assigning to self.*
@@ -194,12 +194,7 @@ class SomeEnum:
                 for n in stnodes
                 if n is None or not n.implicit
             )
-            proper_types = [
-                _infer_value_type_with_auto_fallback(ctx, t)
-                for t in node_types
-                if t is None
-                or (not isinstance(t, CallableType) and not is_named_instance(t, "enum.nonmember"))
-            ]
+            proper_types = [_infer_value_type_with_auto_fallback(ctx, t) for t in node_types]
             underlying_type = _first(proper_types)
             if underlying_type is None:
                 return ctx.default_attr_type
diff --git a/test-data/unit/check-enum.test b/test-data/unit/check-enum.test
index 1ab8109eda75..08d260fade2e 100644
--- a/test-data/unit/check-enum.test
+++ b/test-data/unit/check-enum.test
@@ -2539,3 +2539,28 @@ def check(thing: Things) -> None:
         return None
     return None  # E: Statement is unreachable
 [builtins fixtures/enum.pyi]
+
+[case testValueFallbackWithCachedMethod]
+from enum import Enum, auto
+from collections.abc import Hashable
+from typing import Callable, Generic, TypeVar
+
+_T = TypeVar("_T")
+
+class _lru_cache_wrapper(Generic[_T]):
+    def __call__(self, *args: Hashable, **kwargs: Hashable) -> _T: ...
+
+def cache(user_function: Callable[..., _T], /) -> _lru_cache_wrapper[_T]: ...
+
+class Color(Enum):
+    RED = auto()
+
+    @cache
+    def lowercase_name(self) -> str:
+        return self.name
+
+reveal_type(Color.RED.value)  # N: Revealed type is "builtins.int"
+
+def frobnicate(color: Color) -> None:
+    reveal_type(color.value)  # N: Revealed type is "builtins.int"
+[builtins fixtures/primitives.pyi]