Who Generates the Largest Finaid Pools From Tuition?

Charging full-price can, in theory, help universities fund financial aid. Which universities draw the largest tuition pools from full-payers?

Is there is a Robinhood-esque relationship, where the highest-paying students subsidize the highest-need students? We can take a look at the average net prices charged to the highest-need students:

Of all the paths that full-tuition reciepts can be routed to, financial aid is only one of them.