You said they live in the “wealthy” part of the city. The point being, even in wealthy places like Manhattan in NYC or SoMa in SF there’s plenty of petty crime. In other words, crime is not exclusive to non-wealthy neighborhoods.

But a lack of crime is exclusive to wealthy neighborhoods.

This isn't true. There are many poor communities where enforcement is effective and theft and crime are low too. It is all about the expectation of consequences and community standards.

An example? I don’t believe you.

Pick any small town where thieves can't hide, and you will see the deterrent influence in effect.

That’s not an example. I still don’t believe you.

In my part of the world, pretty crime is low despite massive income disparity, regardless of neighbourhood wealth.