AbigailII: Again, this would be too hard. Imagine you play e.g. 5-win match and because of bad time management (reason can be some family business or easily some unexpected party with friends) you lose one of those games on  timeout. Would you like to lose the entire match ?? To make my argument stronger, imagine that this game is with a very weak opponent and the loss would ruin your BKR :)   

And if someone stops playing many-game gammon match ??
Since you have rook membership, you dont have to care about game positions. So you just make the first move many times and just let the game "sleep" in the "opponents turn" games, where you dont even look too often, so it doesnt bother you.