The idea is that "roguelike" = a game like Rogue, which according to some people, requires checking most if not all of the boxes including ASCII, proc-gen, perma-death, turn-based, ... while the term "rougelite" is less strict. But I think we're past the point of that distinction being adopted into mainstream.
You can co-op Vagante and Streets of Rogue as well. Both are fantastic in single player and multiplayer, and both allow offline local multiplayer; Streets of Rogue even has LAN.
There was some drama when Motion Twin announced they were pivoting to this and stopping updates to Dead Cells. The lead Dev got a little feisty on Discord and the Tweets, as I recall. I hope this was worth it... I've been playing DC since it dropped, so I was sad to hear they were cancelling more updates.