We would like to play the same 4-Player game over and over again, like a league, one game at a time. But without inviting everyone after every game.
I would like to do the exact same thing: use the tournament structure to always keep exactly one "running game" with the same opponent(s), with the next game automatically created, joined, and started w/o any interactions. And this is also how I thought it worked when I saw the unlimited/league option.