Great idea Caissus..

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..