London Breed ran a representative survey by a sophisticated polling group whose objective is to identify "actions that maximize increase in votes." It's Shorism - https://www.nytimes.com/2022/09/08/style/david-shor-democrat... - not specifically his group but in a Darwinian way this is how lots of local elected officials operate now.
So now we understand your question is really, "Why does this particular action affect voting?" We can only speculate. Too few people are victims of property crime for that to be the explanatory variable. I think the kind of people who are never victims of property crime (the majority) react very strongly to the presence of cameras. They also believe that Ring makes them more secure. It's all kind of stupid. But that kind of person votes.