If the tip is well-chalked, the miscue will be a result of hitting too far off center. On draw shots, to hit the cloth first, the cue stick would have to be pointed outside the edge of the cue ball. While people who can't play a lick might have this problem, I think anyone who can draw well more than half their attempts has already figured out that if the stick points out beyond the edge of the cue ball, the shot will not go well.
As for why you get chalk on the cloth, you're got a real treat in store. Watch the brief clip from the Austrian high-speed video which is available in several places including the shooter's home page:
http://www.bskunion.at/efler.htm
Especially note what the chalk does and what the tip does on the shot from the side. The full video DVD is still offered on the link above.