Would like to have some kind of tournament timing in the game request window
If it is on then one minute after game request created timer is starting for the opponent. And count as the loss by timeout if opponent didn’t appear else appears then time would be deducted by waiting.
You are asking for a single game that is timed like a tournament game, where if the opponent is late they lose time, right?
I think you can achieve this by making an actual tournament with a single round and inviting just the two players to it. Then it can even have a specified start time, and both players will lose time if they show up late.