There's a multiplayer mode. I believe, although I do not know, that it was announced that there would be no PSN requirement for single player mode.
I have no fucking clue what the play is here. Why the ban instead of a huge flashing disclaimer on the store page and when you first open the game saying "You have to use our shitty services if you want multiplayer"? That would solve a lot of issues and they wouldn't need to ban it anywhere.