> Let's even say that only 1% of crashes involve someone breaking the law (intoxicated, no licence etc).
Speeding? Let's then raise that 1% to like 40% or something. Looking at some random sources[0][1], all the most common causes of traffic fatalities are the ones machines already deal better with than humans. Distracted driving? Check. Failure to stay in lane? Check. Speeding? Check. People die on the roads mostly because drivers behave like idiots or hit their natural limitations.