I thought the unspoken truth was almost nobody actually pays the published private tuition rates so it’s usually actually cheaper or even free to go to a private university?
But the generosity of grants falls off sharply as you leave that tier. Financial assistance at schools like NYU are almost 100% in the form of loans.
That was the case for the 2 private schools I visited while in the process of picking a college. Very small sample size of course, YMMV.
It's really problematic for large families, where schools expect parents of six kids to pay tuition as if they only had one kid.
I only got private loans and dropped out after one year. I couldn't make the numbers work beyond that.