Exactly as I said: there's NO reason to believe the criminal will cause a wave of destruction of mayhem in the 5 minutes it takes to wait for backup to arrive. If you're not dealing with an active shooter or a suicide bomber or a warewolf in the middle of a transformation, there really ISN'T any need for immediate haste. In fact, in the event a suspect has a hostage or is in danger of becoming violent, postponing the confrontation and letting his adrenaline wear off is actually the better play.
You're moving the goalposts. I'm saying he will escape to do more dirty deeds in the future.
1) No, you were saying (directly or by implication) that a criminal fleeing the police is likely to stop and rape a woman -- or some other heinous crime -- so his pursuers will have to stop chasing him to comfort her, just like the Indian Warriors of old. So that is YOUR goalpost you're aiming for
2) "Will escape" is an idiotic assumption. Pursuing officers are in almost EVERY case perfectly capable of maintaining pursuit without engaging. If the suspect is on foot you can simply follow him, either in a car or on foot yourself (or both, ideally, if you have more than one officer in the pursuit) and using the lights and sirens and other officers to keep bystanders out of harm's way (containment). If the suspect is in a vehicle, 90% of the time you can get a police or news helicopter to follow from the air, or you can follow him in an unmarked car from a discrete distance. Some cities, however, have strict guidelines that prohibit active pursuit in a vehicle precisely because those pursuits cause a lot more damage than the suspect alone is likely to cause if he is allowed to escape arrest for the few hours it'll take to wait for him to let his guard down (and then they just arrest him AT HOME).
3) Innocent until proven guilty. You can't even legally assert he did a "dirty deed" in the first place without subjecting him to due process, so why the hell should we assume he WILL in the future?
Huh? I'm not justifying massacres, I'm explaining how good intentions can lead to bad results.
No, you're actually explaining how lies and propaganda can lead to war crimes.
You might not like reality but that doesn't make it fiction.
You might not like indians or black people, but that doesn't make them rapists.
Backing off and always keeping him in sight aren't mutually compatible in an urban environment.
Clearly you've never tried it. But that makes sense, because you speak most authoritatively on subjects the less you know about them.