I cannot understand why anyone would actually want one

I have driven a Delorean and it has no air con, you can't wind a window down, as it has only a small flap in the window, so it gets really hot inside on a summer day. It isn't that great to drive either. However, it does have that certain "sex appeal" though and sure turns heads.
If I was wealthy, perhaps it would be nice to have one, just so that I could say that I have one!

Having said that though, I am not a car enthusiast anyway and wouldn't collect cars. My priority, if I was that wealthy, would be to build a big observatory with a big scope, for personal use!
The one I drove ended up selling for $22,000

But then, $22,000 in those days was probably equivalent to GBP70,000 today. I certainly couldn't have afforded to buy it then, nor now.