Indeed, you might even notice in the pictures that one room has a wall painted blue and the other one reddish. When people asked which team to join the answer was: "What color is the wall?" :)

That said, in practice we don't do a lot of competitive stuff. Instead we tend to prefer to focus on cooperative games, like Deep Rock Galactic, Ark, Factorio, etc. This works a lot better when everyone is somewhere between a casual vs. hardcore gamer with very different skill levels.

The one thing we regularly do play versus is Left 4 Dead 2. I've gotten pretty good at assigning my friends to teams for that one such that the games end up reasonably balanced...