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Have no idea other than if your stomping on the brake (right side) that could be the cause to go right. I have always attributed it to me avoiding that object i was trying to avoid.
I think it is due to the extra weight being shifted forward and down on the right side. Most normal folks react the same way, right foot forward = shifting of the entire body weight in the seat (pucker factor) Or it might be that the rear tire is actually offset to the right.
Never noticed that.
On my bicycle I could skid to either side, or back and forth and make a long "S" shape. Of course bicycle tires were cheap. I could do the same on my motocross bike but even those tires were too expensive.
I would guess that it was due to the weight of the primary on the left side of the bike, same reason the bike will pull to the left when you let go of the bars.