Couldn't there be some way that the player that has an obvious win in a player group can be declared the winner? For instance, if someone sweeps all the games in a grouping of four (18 points) there is absolutely no way that he could not be the sole person to avance to the next round.
I'm in several tournaments right now in which all the people who will advance have already been decided, but the next round won't start until some insignificant games are finished, and some of those games don't show any sign of ending before the Rapture.
These people can still play their games; I'm not saying that they should be prematurely ended by any means. I'm just saying that insignificant games should be ignored when considering tournament progress.
I believe that many people would throw as much confetti as they can get their hands on in your general direction if you can do anything to speed up the tournaments.