In the city I live in, there is a chronic shortage of police officers and a lot of dangerous neighborhoods. If a drone could be used to do the same or a substantially-similar policing job in those neighborhoods that a human cop would, without having to pay for a human cop (not just their salary in and of itself, but also in terms of making the police department a place people are willing to work for at that salary), this would be an improvement to public safety and quality of life.

Also remote-operated drones don't need to fear that they will get suddenly shot or stabbed to death by a criminal suspect whose potential crimes they are investigating, like a human cop does; and this would itself have some beneficial effects on policing.