I'm pretty sure that's already the case, though it's typically not explicitly stated.
Crimes in expensive neighborhoods often get a lot more police attention than crimes in the ghetto.
Also: Do people who don't pay taxes, e.g. homeless, unemployed, destitute, not get the benefits of police protection?
It's the government that makes the rules, they decide to make people homeless for not paying property taxes, and to charge sales tax on food, even for the destitute. In my city this winter a homeless person was bothered by the cops, they stole his blanket, and then he froze to death where they left him outside. Ask anyone who's been homeless if they fear the police or not.