I believe most idle-gatcha games are in this category. Your interactions with other players are mostly divorced from other players.
Arena? Well you set up a line-up and they attack that line-up. You don't interact directly.
Leaderboards? Yes, you race on the leaderboards, how do you pass them? By interacting with the game, not interacting with the players.
Hm yeah interesting I haven't really pondered the similarities.