LOL.

Maybe you need to stop imagining patterns that confirm your hypothesis.

As you said, the public is unhappy when police are perceived to do nothing, and when police are perceived to cause an accident. Both are potential outcomes of any incident without the existence of any cycle.

Its absurd to suppose the police have a meeting and someone says "people are getting really grumpy that we're letting all the crooks get away so we better start chasing them again".