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It's a draw anyway.
Not by default. Only per repetition/50move or impasse amounting to mutual agreement (supplanting mostly inapplicable stalemate in +Touchdown/Coup addition-variant). The side that outplayed the other will still earn the win (either by capturing enemy K or getting your K to other side first).
Yeah, right the king. I forgot about that.
the king should be allowed to dribble.
No, I was serious about that. Chess with best play is a draw. It isn't that of an disadvantage to have black anymore. In the current world cup there were many black wins out of equal positions because white risked too much too win.
In the suggested variation OP suggested a draw cannot be achieved because even if all pieces are exchanged there will always be a player who reaches the other side first because in chess we alternate between the players.
well, same thing for a pawn. If all the pieces are exchanged, somebody always ends up with that lucky pawn that is closer to the finish line. I still think the "Touch Down!" play is awesome. Try it a few times, it's highly addictive. Talking about it isn't the same as playing it.
So you think that with finessed masterful play of the '+Touchdown' variant described, the first_move advantage would be significantly higher than it is in standard chess, perhaps enough to guarantee a victory ?