I haven't heard of any single player PS4 games that require an internet connection to play. I haven't even heard of any PS4 single player games that are unplayable without a patch. PS4 consoles do not require an internet connection at all in order to operate.
Every patch/update I've ever heard of for PS4 games was for online features.
Personally I don't play online, so I've never connected a console to the internet. Not once.
You connect your console to the internet and then complain about the results? I don't understand.