I don’t know, maybe this is an American thing, but I can tell you that in my country (Spain) it’s generally more expensive to have a luxury flat in the centre of a rich neighborhood of a big city, than it is to have a big detached house in the outskirts. Why would rich people want to live in bumfuck when they can live surrounded by luxury restaurants and services? Rich people live for the most part in big-ass flats in the centre, and then they go to the countryside on weekends to an even bigger-ass villa or something.