I'm with you there on the uniforms, but I had very much the opposite experience in the social class arena.
I grew up in an affluent suburban area with very good public schools, where I would unquestionably have thrived, but my parents sent us to private schools anyway. However, these were not pampered country clubs for the children of millionaires. They were Catholic schools run on a shoestring. We had a microscope or two; each of the surrounding public schools had a dozen in every class. Half the students in my high school came from very rough neighborhoods in DC. The bishop was paying their way, and college was out of the question for many of them.
I suppose it was an enlightening experience, but at the time I was too young and naive and self-centered to appreciate it. All I was thinking about was wanting a girl named Dierdre to go to the prom with me. She declined, breaking my heart and leaving me the hollow, crushed shell I am today!
Oh well.
C'est la guerre. Hey, I remembered some French! Maybe my some of that education sunk in after all!