fix: apply connection prefix id to the model display name as well as the id (#28950)

backend/open_webui/routers/ollama.py

@@ -427,6 +427,8 @@ async def get_all_models(request: Request, user: UserModel | None = None):
         for m in response.get('models', []):
             if prefix_id:
                 m['model'] = f'{prefix_id}.{m["model"]}'
+                if m.get('name'):
+                    m['name'] = f'{prefix_id}.{m["name"]}'
             if allowed_tags:
                 m['tags'] = allowed_tags
             if connection_type:

backend/open_webui/routers/openai.py

@@ -747,6 +747,8 @@ async def get_all_models_responses(request: Request, user: UserModel) -> list:
 
                 if prefix_id:
                     model['id'] = f'{prefix_id}.{model.get("id", model.get("name", ""))}'
+                    if model.get('name'):
+                        model['name'] = f'{prefix_id}.{model["name"]}'
 
                 if tags:
                     model['tags'] = tags