Well, I doubt that it would.
I think for a league that would involve some form of prize at the end we are better off with games that would be setup on one night a week. But the games themselves could be played on a different day entirely as long as it was good for both players to do so.
Tonight I am going to be talking to everyone about the whole thing, taking input and going over how the new league would work. Basically though, players would be cut down to two games a week. That doesn't mean you couldn't play for fun or anything, just that any games beyond what is organized would not count. We also need to discuss a fair entry fee, I'm leaning towards no more than 5 dollars.