SW - Did you got to GT? The reason I ask is that I graduated from there, and I have a family member who attended Vanderbilt and another that attended Duke. What I can tell you is that because schools like Stanford and Duke, etc. have non STEM majors, the academic rigor, once they are accepted, can be minimal compared to GT. So, yes, it is easier to keep a kid eligible at Stanford than GT, depending on their major. Let's don't keep this going. It is true, but if you don't believe it, that is fine. Private, academic schools are not like GT.
With that said, if a kid has ZERO desire to do academics, you are right that they will have issues anywhere.