To be clear, the police were fucking stupid in this situation, but that's not the context here. They were literally arguing that appearance should dictate police response.

That's not exactly what I said. I can see the argument about appearance discrepancies, and I concede that, but note that I didn't argue that solely. Nonetheless, information is information and there are likelihoods associated with that information. You have druggies and prostitutes with guns inside a home (that is extremely likely to be unkept) and a person claiming that they are the property owner and that the people inside are illegal squatters. I'm not sure how all of that funnels into an arrest of the property owner, which is what I was getting at.