Totally get the bit about the sub patrician population being irrelevant too.

Top tier tertiary education institutions are businesses and they want rich benefactors and alumni - as money begets money their most rational choice is to select from the global patrician offspring.

Keeping tuition high to all but a tiny minority keeps out the riff raff, don't you know.

Really!

If you have borrow the money to pay for tuition at their school then they are going to be utterly ambivalent to your being there.

Become what you are