cRusty. In my life I have attended both public and private universities. In my experience there is no difference between the two.
On a professional level, I have had large major public universities as clients and multiple private schools as clients, including two that currently have a four year cost of $210K to $250K. Utterly indistinguishable at the administrative level outside of individual personality nuances.
IMO, paying crap tons of money for a kid to go to a private school, is money wasted. I've said it, I believe it, I will not change my mind.