@preppedparent I’m with you. The fact that this student was accepted at some Ivies means that those schools most definitely will treat them differently should they seek to transfer. Their original file will be reactivated as part of the transfer admission process. Each university is different, but students in this fairly unique situation are usually considered outside the normal process. Being gay or an URM may be relevant if that had anything to do with their experience at Amherst. Again, the student should outline all this in their re-application.
I’d just add that the student doesn’t have to demonstrate anything to us. It’s the admissions committee that counts. In cases like this, I always advise that you contact the university directly. You have nothing to lose. Many students are unhappy at the original universities and go on to do very well elsewhere.