Maybe if the cops weren't such assholes, people wouldn't instinctively trust those "fabricated" stories.
I had an interaction with a police officer a decade ago. He just straight up lied to me after I had a shoulder injury. He arrested me by mistake, and that was after I had suffered a shoulder injury. He asked me if I wanted an ambulance to take me to the emergency room. I said I'd prefer to go my normal urgent care place a little ways from me, could I do that? He said yes. I signed saying I wasn't going to the ER, and then he cuffed me, shoulder injury and all. Why did he do that?
Then he lied to the judge, saying that he had previously arrested me (he had not; it was the first time I had ever been arrested) and on the basis of that representation the judge gave me a $5000 bond on a Friday. On Monday, the "charges" were dismissed because it was all bullshit.
So if he did that to me, why should I think he wouldn't shoot someone needlessly? Or harass others. Or take money. He fucked with me on purpose, for shits and giggles I guess. Meanwhile, I almost had to spend the night in jail, which would have been terrible because I didn't have my medicine that I need to take daily and for which there can be consequences if I don't. When I told them (this was the prison intake, don't know if it was prison guards or police at that point), they said I should have brought my meds with me. I said the guy cuffed me without warning and shoved me into the cop car. Finally I was able to contact a bondsman at like 11:30 that night.
From what I understand, that kind of shit goes on all the time. That officer was not afraid of getting shot. He had been talking to me. He knew I didn't have a gun on me. There was nobody around, in a suburban neighborhood. You can cite official brutality stats, but the problem with police-community relations is that shit right there.