Apply suggestions from code review

Co-authored-by: Andrew Morgan <1342360+anoadragon453@users.noreply.github.com>
Co-authored-by: Copilot Autofix powered by AI <175728472+Copilot@users.noreply.github.com>

synapse/api/constants.py

@@ -426,7 +426,7 @@ class ProfileUpdateAction(str, enum.Enum):
     we always include the full profile of users who have joined a room the syncing
     user is a member of, where full profile means all the current profile values the
     client asked for, regardless of whether they have changed recently. This ensures
-    that clients have profile re-populated for any users who have recently left
+    that clients have profiles re-populated for any users who have recently left
     shared rooms.
 
     A scenario example would be as follows:

synapse/handlers/profile.py

@@ -655,7 +655,7 @@ class ProfileHandler:
         field_name: str,
         new_value: JsonValue | dict[str, JsonValue],
         by_admin: bool = False,
-        propagate: bool = False,
+        propagate: bool = True,
     ) -> None:
         """
         Dispatch setting a profile field value. This either happens in the same