They are no real Cons, He is big dawg. He smacked the Justice league around in the movies. It is not like anyone ever goes I wonder who is coming to help Superman. Superman is one of the least affect characters by being in a shared universe imo. If they ever treated other heroes like Captain Atom, Martian Manhunter, etc like their power levels then maybe there would be a Con.
The big Pro is that power level is adjusted around him and every villain is design to hurt him. He is always challenged