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nabla: It looks to me as though nothing short of K+Q vs K would be sufficient to force mate in the Compromise variant; K+N+B, K+B+B, even K+R (surprisingly?) can't get the job done.
K+P vs K endings are different, too. The "winning" side needs to have at least 2 pawns (and those must be on different files) to force a win.
Sorry to get so deep into the weeds here, but I find this stuff fascinating. :)