Updating the games would be quick enough, but since the 2nd round's rankings/match-ups are determined by the first round of games you'd have to wait until a round was complete (or nearly so) before setting up the following round. And whenever one army has more squads than the other they'd no longer be able to just be put into a game with the first squad that was done since they'd need to wait for an appropriate opponent rank-wise.
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