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In the tournements sometimes all games are ready except one or two less important games.Perhaps it would makes sense,that the tournement creator can start the next round if we have the winners of each group? Otherwise there is a long time until the next round begins and the most players perhaps have forgotten this tournement.:)
The only potential problem comes when the winner isn't totally obvious. I have run into tournaments where someone's score was lower than mine, but at the end when the "S-B" was figured out, they actually tied me. If the tournament creator didn't know how to figure out the "S-B", or did it incorrectly, that other person wouldn't have been included in the next round...
It probably doesn't happen very often, but it certainly does happen..
EDIT: In reading your post again, I'm now thinking I may have misunderstood what you were suggesting... so excuse me, if I'm totally off..