I'm not disputing the truth of the statement. I've only been riding a bike a few months so I don't know enough to dispute anyone's statement, but simply do not even understand the logic in it. I've made a few thousand turns, and gone around a few thousand more curves, and I have never had either of the two bikes I've riden go in any direction other than the one I told them too....for example turn the bars right to make a right turn at 20 mph...most bikes will surprize you with a left turn. That would be a mild example.
I have a thought that he is refering to actually turning the handlebars perhaps? As opposed to simply pushing on them? Or heck it doesn't even seem to me that I push them, it's almost like I think "left turn", the bike goes left, I think think "right turn," the bike goes right. I would imagine that if I actually turned the handlebars like I was steering an ATV I'd end up as a long greasy spot on the highway.