Well in certain citys don't, and have a policy against hi-speed pursuit. I know bad things can happen(like innocent ppl getting killed), but in some instances i think its worth it. Like if the guys a mass murder or just kill alot of people and is fleeing. I know they can still catch him, it just gives him a chance they won't. Now if its for running a red light or something not that severe, then they shouldn't chase him.
In the case of the guy in the video, he deserved it running from the police like that.