It's my comment above yours.
I went to RU as well so I know what that edu and campus experience is like. I grew up in central NJ so I am familiar with Princeton. I went to public school. I had friends who went to private schools (e.g., Hun).
There IS a differnce, and it ain't just income.
You're absolutely right. It's a small sample size. Nonetheless the contrast was stark and obvious. Network, environment and role models all matter. They are things a lack of money can't buy.