After beating all three installments, I decided to try and play against human opponents.
First, even though I already paid for the console and the game, I had to subscribe to PS Plus. Without it, the multiplayer just doesn’t work.
And then… there are no opponents. For the whole evening, I had just two matches with a single opponent. That beat me twice. And the lags were abysmal. For the next evening, I had one opponent, that got disconnected after the first match. I have a feeling I won’t be extending my subscription to PS Plus.