However they see fit? Like, sexual assault? Shooting wildly into a crowded area? Taking a bribe to forget the whole thing? Grabbing an innocent bystander as a hostage? Nuclear weapons? Hunting down your kin and erasing all traces of your bloodline?

It's absolutely not though. Most places have clear rules on how cops can pursue, grounded in concern for public safety. And even if they don't there are standards for what level of force is reasonable for a given suspected crime. In this case it wasn't even a suspected crime, it was a suspected civil violation.

Hey, bootlicker! Go fellate an officer's service weapon!