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League opens things too much to corruption. Some teams can be influenced to draw games out, or even set the scores so that they have advantages in tiebreakers.
i.e. I let you win, but u give me alot of rounds ok?
such things can all be set up and influenced.

Double elims will pit team against team, and if 2 equally strong teams meet, one of them loses and goes down to the losers bracket where they will fight among the other losers, till there's only one left. That last one fights the winner of the winners bracket, but needs to beat them twice.