Looks like a mix of public/private. the University of Texas, the University of Southern California, the University of California at Los Angeles, the University of San Diego, Stanford University, Wake Forest University, Yale University and Georgetown University.
I think there should be room for a few legacy admissions, just a few. Look at how many athletic scholarships are awarded to the undeserving.
Yes and those publics have well regarded names and are hard to gain admission.