If someone had this experience I’d encourage them to look into how police departments across the US consistently fight against any accountability for the cops who perpetuate those relatively few awful encounters. “Most interactions are harmless therefore the negativity is overblown and cops are trustworthy” is one takeaway if you stop your research at the right point. “if you have a bad experience with a cop the entire department will turn against you; they are not to be trusted” is a more accurate takeaway.

As you say, stats very often obfuscate.