Is writing "white, female, upper-class" as bad as I think it is?

There are some very upper income families who are definitely NOT upper class (big-time drug dealers?). Upper class and upper income are 2 different things. I don’t think using the “class” term is a good idea on US apps. It does sound very pretentious. In any case, I agree with others that it is a waste of space to include demographics in a Counselor’s letter.