The average car driver is NOT putting enough active attention into their driving and could in many cases break fast enough to prevent the accidents that do happen. Furthermore, the average car driver has not been trained on how to actually handle extremely rapid braking situations. A lot of people are downright wusses about dealing with the "whiplash" of actually hard braking their cars. I'd even claim that over half of all drivers have not seriously applied their brakes at 100% at a speed above 20mph EVER!
Slow reaction times, of the kind that could be easily corrected by more strict laws around who and how licenses are given, are easily the #1 reason for preventable pedestrian deaths from cars.
This is a solvable problem and the Euros have far less of these stupid kinds of situations for a reason. I WILL blame most drivers who "kill children" for their laxidazy assumption that they can reduce their idle concentration just because "it hasn't happened to them".
Also all of this discourse is really arguments for requiring all cars to have active automatic emergency braking for pedestrians and other cars.