drones.

people fear the militarization of police, so the word drone instantly sets people off, but... they are rapidly becoming cheap/small/light/sturdy enough to be launched from police cars. Police officers are quickly coming into several different devices that can either instantly end a pursuit in a nonviolent manner or follow from a safe distance.

beyond that, the decision to give chase is largely going to depend on the probability of collateral damage. If you're fleeing the middle of BFE I've got no problem in the police hauling ass if they feel like doing so.