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AbigailII: Things are not determined by a dice roll, but by luck. Consider a game of rock paper scissors, nothing is hidden there either, a single game of it is still completely luck dependant.
And A,B and C are 'good', since if Black decides to play A',B' or C', White will win 66% of the time, so it would be irrational for Black to not choose X, so with everyone playing rationally, the game would end in a draw.
Concerning the swap rule, I see that its probably not as perfect as I first thought, since White can play really bad which leaves Black no 'bad enough' moves, so restrictions would still be necessary. And all that bad play really isnt so nice at all, thats true ;) Which still leaves this great game at a way too imbalanced state.