I've travelled to a majority of countries across the globe (exploration geophysics, mostly in the air or deep backcountry, rarely in major cities) and Dubai is another city within a city location; two state; the rich are rich and have no need to steal, or are brazen about it, while the poor are segregated, curfewed and routinely castigated.
These are not places were you want to fall the wrong side of the invisible barrier.
This dynamic exists in many expensive locations around the world, but Dubai stands out for its remarkably low crime rate. Take San Francisco, for instance. More expensive to live and greater wealth inequality, yet riddled with crime.
It isn't the expense; it is the segregation. The poor just aren't allowed to exist or mingle with the rich in Dubai. If you are poor, you are only near the rich while you are at work, performing a job.
What do you mean by that? It's the same kind of segregation that exists in San Francisco: expensive areas are out of reach to those without money. There aren't actual laws enforcing segregation. In fact, it's almost the opposite - it's pretty easy to come and live in Dubai.
These are not places were you want to fall the wrong side of the invisible barrier.