I
the way it's the fault of the police the children died, rather than the fault of the driver of the vehicle that actually hit them in your example.
I'd say there is a pretty solid argument to be made that in your hypothetical, even if the police, rather than the bank robber, hit the car full of kids, it's still the responsibility of the runner, due to the fact that the person running is in commission of a felony at the moment they happened, not the cop.
I'd say a pretty large percentage will never be seen again, since criminals tend to live somewhat vagrant lifestyles and they'd just simply never stop. They don't live the lifestyle you and I do, they don't have stable residences, and they're almost always arrested while driving.
Before you say "Get the tag, catch them later" how do we deal with first, stolen cars, and secondly, if the car isn't stolen, how are police to be sure enough of the driver to swear out a warrant?
They aren't, "The vehicle tag is registered to PVN" doesn't even come close to reaching the probable cause line, so not knowing who they are = they get away never to be seen again about 75% of the time.
As sn aside, I'd assume since you have issues with chases you also would have a problem with blue lights on vehicles and police exceeding the speed limit to answer calls?