I got a Same Combo, flipped all of Psychotic's cards my way, and won the match and he still got a victory.

One bug of note: If you cancel an invitation you may lose the five cards you chose for the match, but don't panic, because they will come back to you when you finish a match. But if you lose a card through any other bug then say goodbye to them forever. (But that's okay, your Geezard cost you less than one gil.)