diff --git a/pyro/nn/module.py b/pyro/nn/module.py
index b84a17875b..05190e24d7 100644
--- a/pyro/nn/module.py
+++ b/pyro/nn/module.py
@@ -138,7 +138,7 @@ def __get__(
         if name not in obj.__dict__["_pyro_params"]:
             init_value, constraint, event_dim = self
             # bind method's self arg
-            init_value = functools.partial(init_value, obj)  # type: ignore[arg-type]
+            init_value = functools.partial(init_value, obj)  # type: ignore[arg-type,misc,operator]
             setattr(obj, name, PyroParam(init_value, constraint, event_dim))
         value: PyroParam = obj.__getattr__(name)
         return value
diff --git a/pyro/poutine/equalize_messenger.py b/pyro/poutine/equalize_messenger.py
index 035d96c06b..e17693267b 100644
--- a/pyro/poutine/equalize_messenger.py
+++ b/pyro/poutine/equalize_messenger.py
@@ -72,6 +72,6 @@ def _process_message(self, msg: Message) -> None:
         if self.value is not None and self._is_matching(msg):  # type: ignore[unreachable]
             msg["value"] = self.value  # type: ignore[unreachable]
             if msg["type"] == "sample":
-                msg["fn"] = Delta(self.value, event_dim=msg["fn"].event_dim)
+                msg["fn"] = Delta(self.value, event_dim=msg["fn"].event_dim).mask(False)
                 msg["infer"] = {"_deterministic": True}
                 msg["is_observed"] = True
diff --git a/tests/poutine/test_poutines.py b/tests/poutine/test_poutines.py
index 7e2f7cfa8e..c06a2a8778 100644
--- a/tests/poutine/test_poutines.py
+++ b/tests/poutine/test_poutines.py
@@ -798,6 +798,12 @@ def test_param_equalization(self):
         assert_equal(tr.nodes["cats_shift"]["value"], tr.nodes["dogs_shift"]["value"])
         assert_not_equal(tr.nodes["cats_std"]["value"], tr.nodes["dogs_std"]["value"])
 
+    def test_render_model(self):
+        pyro.set_rng_seed(20240616)
+        pyro.clear_param_store()
+        model = poutine.equalize(self.model, ".+_std")
+        pyro.render_model(model)
+
 
 @pytest.mark.parametrize("first_available_dim", [-1, -2, -3])
 @pytest.mark.parametrize("depth", [0, 1, 2])