The Ivy Leagues operate on a band system from 4 being top student to 1 being an academic help kid. Which band you fall in is based on your Academic Index (based on SAT and GPA). Out of the 30 kids they are able to bring on in a year, they are allowed a few kids in the 1 and 2 bands but have to take I believe a mandatory 13 kids in Band 4. This balances it all out.Stanford I do. Nobody else do I feel that way about. Not a lot of one and dones in BBall and not a lot of early entry candidates in the NFL either. In addition, back when I followed recruiting closely, it was not uncommon to see their recruits also have offers from most/all of the IVY schools.
As for Stanford, they do lessen the SAT and GPA requirements for their football players. Depending on how high you rank on their board suggests what your grades can be in order for them to vouch for you in admissions. Preferred walk ons are held to a much higher academic standard then scholarship guys.