Think he means playing games on the net in general with the PS4? could be lol.
I mean, I think the PS4's net base is pretty good. It just so happens that fighting games on consoles are just not ultra impressive, but if you play online with any other games outside of fighters PS4 is actually pretty alright (Coop games etc).
I dunno, when I play Overwatch online, I pretty much never experience any lag. In my experience, Japanese fighting games always lag online on console. It's just how things are with Internet infrastructures and netcode. People's connections along with the netcode will never be perfect unless you're particularly close to each other.
The PS4 internet browser is garbage, it does lag the whole console when trying to use it and leave it to the PS4 home. It doesn't even operate like an app so you can't open and close it quickly.