My impression is that this game, played well, would almost always end up in a stalemate. This game has too much symmetry in the powers of pieces; in chess one can attack pawn structures by picking off the pawns at the back since they aren't defended by other pawns, but in this game no such attack would be possible. Consequently, barring gross stupidity I can't see any way that a player could ever capture a piece without losing the piece which he used to attack; so pieces would end up being traded off until each side had only a single piece left.