Most cops stand solidly behind The Blue Line, and will not out the “few” *cough* that enguage in questionable (at best) actions -and if they do, they are ostracized by the rest.
The "thin" part of that reference in personal experience is about a mile wide in real life. So yes, there is no "thin" for the majority of us who are not LEOs.
We are (non-LEOs) all either "Perps", or "Uncaught Perps". And yes, I had a female Corrections Officer tell Me that at a bar when she was deciding whether or not to interact with Me, so I know it is not a solitary mindset.
Sorry to offend your delicate sensibilities.