Liverpool uni accommodationWatch
Firstly, this is a bit of a silly question. Secondly, it's quite random - some rich kids want the cheapest accommodation, and vice versa. From my own experience, it's Vine Court, but I had private school friends in every hall.
I went to a private school. Lots of my friends at Liverpool did. But it's really not a big deal when you get to university. Of course, some people are anti-private school, but you find them at every university.