I dont think it is as clear as that. My understanding is much of the distinction between those two comes down to who the beneficiary is and if it is a self serving private membership, or serving the public.

Either way, I dont see the educational requirements for costs in line with other institutions, especially when the institutions can easily showing they are spending more on the students than they are charging. Discounting a $100k educational experience to 85k is still a benefit to the public. Someone offering a different educational experience for $20k doesn't negate that.

If we want more cheaper universities and education as a society, we should think about creating them, not trying to force expensive universities to be cheaper.

The challenge is that people don't actually want cheap accessible education, they want luxury too.