Maybe it's a long stretch and because I just heard a seminar on addiction... (and maybe I am generalizing too much)

One major topic was that the vast majority of addicts in therapy are the ones who lost connection to others (family, friends, spouse). The other is that what gives people first contact with substances is a shared experience with other people (forming of connection).

I could imagine that the when you spend enough time going down the spiral, you end up having multiple encounters with the police. Which leads to stories/experiences (that are shared). To the point your brain starts to form a "connection" to them. You despise them because they get you into troubles but your brain doesn't care where it gets its connection from and for it you have shared experiences.

And then they show you a TV show that basically features an abstract interaction between someone representing you and someone representing the police.

I don't know. It makes sense to me that people (police and policed) would like that, somehow.