Just to chime in, your son would likely receive the Presidential $32,000 scholarship if accepted. As others have said, Tulane apparently sometimes rejects high-stat students it feels are using it as a safety. Your son should have some real interest in Tulane if he applies; the “Why Tulane?” essay is important.
My son had a 35 ACT and a 3.94/4.34 g.p.a. He received the Presidential but did not receive one of the full scholarships, so they are competitive. I’ve got some serious doubt about our willingness to shell out $20,000 a year for tuition when he can go to Alabama tuition-free or Ole Miss for almost nothing, so I’m not sure where my son will be this fall.