I don't think I played the story co-op, but I played versus maybe 3 times. Splitscreen isn't good for that because screen-peeking.

Resistance 2 had some interesting co-op/online stuff (XP system with unlocks, different stuff than story mode) that I mostly played solo IIRC (janky, still need 2 controllers). No broadband available until mid-2016, but I was able to play online via a distant neighor's wifi (they knew) at midnight for a few games and was probably the worst player thanks to high ping (rubberbanding).