No, what was said is that ~15% of the student body is in the top 1%. The top 5% by income make up 42% of the student body. I'm not sure about your own definition but I wouldn't qualify that as middle class.

I don't view 95% of the population making up 58% of the student body as an indicator that we're doing things particularly well. Especially when you don't ignore the fact the bottom 20% make up only 3.8% of students and the bottom 60% of the population only account for 18%.

These statistics fly in the face of any belief in meritocracy, social mobility, access to education, academic achievement etc. They imply either the children of the top 5% are genetic superhumans or that, as a society, we're failing spectacularly at living up to those goals.