Do traffic violations kill?

I came across this piece by Sarah Goodyear, inviting us to be shocked at low-level policing, and implying that traffic violations were responsible for road deaths in Atlantic City. I commented: People assume the rule-breakers are the killers. But what is the correlation between traffic violations and “accidents”? The underlying problem, which makes roads dangerous but goes untreated, is the anti-social rule of priority. If we replaced priority with equality, i.e. designed roads to express a social context, it would be “After you” instead of “Get out of my way!” All road-users would take it more or less in turns, and most of our road safety problems would vanish in a puff of exhaust smoke.