It sounds like you should stop running from police and be thankful the police are such bad shops.
PS - Training is suppose to significantly reduce the effect you describe. Your suggestion supports an argument that police can't be trusted to act reasonably or professionally in high stress situations.
I understand with what you're saying and tend to agree somewhat.
I used to be 100+ percent pro-law enforcement etc...Sadly, my trust has diminished substantially.
To be perfectly honest, I no longer trust government or their agents.
I was the pursuer, not the pursued. Sorry that was not clear enough for you.
As far as your training comment, there is no current training regimen that I am aware of that can prepare an officer to calmly shoot the X ring out while their heart rate is at 220+ bpm and has been for 15 minutes. Been in the business for 15 years and eight years prior military experience. Other than something I read on the SF Q course, where Green Beret candidates did a force road march with a weps qual at the end and were given one minute to get their heart rate under control before the qual, I never had any training in Army Infantry on heart rate control either. Truth is, in these situations your fine motor control is shot to hell, and that is what primarily helps you to shoot accurately.
A wise senior NCO told me once that “You may have been trained in the “one shot, one kill” doctrine but the realities of combat are much different. This is why we give you six hundred rounds of ammo and coin phrases such as “suppressive fire.”