I used to be a nightwalker, and often saw the police patrolling. They never glanced.
When I started to wear a huge hat they did slow down twice, greeted, and, that was it.
During the days, the only times I have been stopped by them was to ask if I had seen a couple of people with a specific description. And, once got a big grin of a few, because I did not suddenly stop going through a red light, when seeing them, where as my friend turned pale and shitless, and hit the brakes of his bike hard. They laughed so hard at him.
But then, I never seem to come across as dangerous. People just walk up to me to tell me their secrets and problems.