It isn't that anyone things that folks from Iowa, going to the nearest in-state State college, can't make it. It happens. It just probably won't, but you
might be more comfortable than someone that didn't go. Just don't, say, be a public defense lawyer or be a teacher.
It is that we know that going to places like Harvard, you are much, much more likely to have a well-paying job, comparatively. Bonus points if you are rich and can do things more often with your peers. I'm not under the impression that the education is that much better (it might be, I can't assess that). The networking you definitely seems better. You are getting a foot in the door, a thing that poor families can't always get without a good dose of luck.