I would say, similar. In theory it may be slightly worse, because you are not using play services to deliver notifications, but each app does their own fetching

I would say, similar. In theory it may be slightly worse, because you are not using play services to deliver notifications, but each app does their own fetching (I believe that's how it works), but you will also restrict apps more (due to e.g. being able to restrict network access), so the two sort of cancel out.