Personally, "effectiveness of police" isn't a make-or-break criterion for me for where to live. I agree that petty property crime is out of control in this city, but I never feel physically unsafe. And regarding property crime itself, my car is garaged, and when it's out and about I never leave anything in it visible from the windows. As for my home, I live on the 4th floor and have two big heavy doors, one with a deadbolt, between me and the street. Home break-ins are pretty rare in my neighborhood anyway, but even if someone did want to break into a home around here, my home is not the low-hanging fruit that a burglar would zero in on first.
The ones without garages, without strong security systems, in worse off neighborhoods, etc.
Unfortunately higher income people only act when it reaches their doorstep, which happens more gradually.