Revert "Ensure frontend is available if integrations fail to start - Part 1 of 2 (#36093)" (#36251)

This reverts commit fbe7b4ddfa.

homeassistant/components/websocket_api/http.py

@@ -165,9 +165,7 @@ class WebSocketHandler:
             EVENT_HOMEASSISTANT_STOP, handle_hass_stop
         )
 
-        # As the webserver is now started before the start
-        # event we do not want to block for websocket responses
-        self._writer_task = self.hass.loop.create_task(self._writer())
+        self._writer_task = self.hass.async_create_task(self._writer())
 
         auth = AuthPhase(self._logger, self.hass, self._send_message, request)
         connection = None