For many of the “very good” engineering schools that I know of they got “very good” status because of their graduate programs. In graduate school a 1:few relation is almost certain. In undergraduate, not so much.
Probably generally true. There's some "trickle down" (sorry) especially for students who take direct advantage of it or from the institutional wealth generally. But, yes, students at such institutions who struggle aren't necessarily well-supported.
