"whose only crime is speeding"?
whatever. the cop doesn't know if, and has the valid concern to find out, if there is a reason said motorist is speeding and he should have given chase. Especially since the speeder didn't pull over when the cop put his lights on. The speeder is responsible for the lives lost and should, at the very least, be charged with aggravated manslaughter. Rationalizing the original crime of speeding, and suggesting the laughable solution of just waiting for the speeder to come home (as if this were mayberry) is just farcical.
No it isn't at all. You would be amazed at the number of robberies I get on the following facts: Robber sticks up the obligatory 7-11, jumps in his car and takes off. 7-11 guy gets his license number. Police are (literally) waiting for the robber when he gets home.
You first argument is a bootstrap - "he's not stopping, I'll chase him, he's speeding faster, I must chase him faster to find out why he's speeing faster." In the usual situation, the cop only knows that the guy committed some type of traffic offense. He can readily check to see if the car is stolen or if there are any outstanding warrants. If negative on both of the latter issues, this leaves only the traffic violation.
Traffic violations, by themselves, should NOT justify initiating a high speed chase if the driver fails to pull over for the red light on the police vehicle.
Unfortunately, the REAL reason cops go in pursuit of relatively minor traffic violators (or ANYONE who refused to stop for them) is all about EGO. Cops go BALLISTIC when someone they feel they should be controlling, refuses to be controlled. Ever notice that? It isn't entirely their fault. That's they way they are trained. When in doubt, yell, bully and frighten the people you are dealing with - that's the only way to get control of a situation.
But a large part of it has to do with the kind of guys who sign up to become cops to begin with. For purposes of this thread (which is not about that narrow issue), let's just say that a large percentage of police officers weren't the kind of guys who were shying away in one corner of the school yard when they were in grammar school. I trust you get the reference here.