I'm going to play devil's advocate here: how is the guy on the phone supposed to know it really is the police on the other side and not just some guy trying to scam his way into a freebie?
You could say that companies should err on the side of caution, but then every potential customer could pull the same, and then how do you weed out the real ones from the fake ones?
You could argue the service should be free anyway, but then we'd be arguing a different point.
Sometimes people are just stupid and/or self-involved, no mental illness necessary.