Nice scenario you've got there; quite the everyman standard.
I agree though that it might be the person hearing things in addition, and even in lieu, of other factors.
Which is not to say that all interactions between LEOs and the general population go as they should, or that a given LEO handles every situation well, every time. Of course not.
But these kind of all LEOs or LEOs in a given agency treat people badly every time by policy statements are often times made by folks who'd be shocked to find out that many, if not most, people might not agree with them.
"How many officers in the pertinent jurisdiction act in the manner you describe, and what source did you use to determine this percentage/proportion/number?"
Also how many people encountered in the pertinent jurisdiction would agree or not, and what source did you use to determine this percentage/proprtion/number?
The "they always treat me and people I know poorly" argument is as much of an indictment of you and people you know as the officer or agency, after all.