And indeed I have a question about overcooked for the ps4. Since it is free since today in the PS Store, I wanted to play it with my girlfriend online. So no splittscreen but over 2 consoles. Unfortunately, I find no information about this. Maybe someone of you has the missing clue and can help us or us?
No, as far as I do not know.
About "parsek", you can send controller signals to another, as if you were with the person, but I do not know if there are synonymous for consoles
No, Parsec does not exist for consoles. Parsec connects you to a paid gaming server with Windows interface. In addition, you need a very good Internet line because you are streaming the game.
This is only possible locally or via Shareplay. Online multiplayer is not possible with the game.