Many of them do, yeah. However, I'd suggest that the staff used for martial arts isn't a quarterstaff. Those are pretty heavy and not just the long stick used in a lot of martial arts. I would probably give those 2d6 or 3d6 max.
The problem with using weapon breakage is that you still get the damage in, several hits worth. Does the staff break eventually? Sure, but I just did 12d6, so the guy I was fighting broke, too.