For the most part, unless a school stops contributing entirely above a certain threshold (i.e, Chicago), you can typically expect to add a third of whatever amount is above the maximum "100% contribution" threshold. You can also typically count on lower 100% contribution thresholds to ultimately cost more than their higher counterparts:
Chicago, if you're making 75k, you pay $0. If you're making 85k, you pay $6780 a year (PAYE).
Harvard, if you're making 75k, you pay $10,400 a year. If you're making 85k, $14,400/yr.
The only difference in threshold I can see is schools that use a third above a cap contribution (i.e, Columbia) > Chicago, since Chicago literally cuts off after 80k, and Columbia is 1/3 contribution over 71k. Columbia at $80,001 you'd be paying $324 a year, and at Chicago you'd be paying $6780 a year.
Ok, in that case can you maybe do some more outlining of the differences between the schools that use PAYE and other federal programs and the schools that do not? My intuition is that there's no way that Chicago, say, has a better LRAP program than Harvard, but hey -- maybe I'm wrong. I know, for example, that Stanford is a bit more generous than Yale, but covers fewer scenarios. Your description right now shows that Stanford covers fewer scenarios than Yale but not the second part of the equation.