I believe so, but that is my own personal opinion. I'd much rather go to DUKE or Michigan than Harvard. They have an athletic department, plenty of school spirit within their undergraduate student body; consequently, there is life outside of the academic realm. A lot of Harvard MDs come from Ivy League schools. You cannot compare undergraduate life in Harvard to some random state school. Obviously, classes are a lot more rigurous at Harvard, the Greek system is a lot different, getting by with a fake in Boston I hear is quite difficult, there are no publicized sport events, and school spirit is solely limited to academics; I don't think there will ever be a Harvard BCS Championship shirt. Hence, I believe an Ivy Leage undergraduate student will experience less than your normal college student. Plus, a lot of those kids were the highschoolers who drowned themselves in SG, APs, and etc.
I am not saying all these students who eventually earn spots in top medical schools are like this, but a good amount of them have to be. Being social comes from a mixture of different life experiences; studying abroad, making mistakes, having fun, etc. I just don't see how on AVERAGE someone who went to an Ivy League school for undergraduate, busted their ass to score a 40 and have a competitive GPA, published 4,000 papers, and eventually went on to Harvard Med, had the time or opportunity to grow as a person. These people are nearly perfect...
Maybe I'm being ignorant, but I just don't see it... sorry.