Apparently I just played 2 games at the same time on the same account.
This game I actually played: http://pantheon.demigodthegame.com/game/1179430/player/56980/
This one I did not: http://pantheon.demigodthegame.com/game/1179429/player/56980/
I'm guessing that the stats tracker simply logs whoever is in a game when the game starts and I happened to be joining the extra slot on game #2 as they hit start. It started while I was connecting and I went to game #1. I never even fully joined game #2 lobby.
C'mon, isn't there at least some kind of verification of who is playing each game when the game starts rather than when it's launched? Another reason why P2P stat tracking is stupid.