I am going to disagree a bit: in general, I think you are correct, but the good honors programs at top states schools come close to replicating the networking opportunities. The admissions are nearly as competitive, and unlike the general population, the kids have very close contact with professors who are nationally known.
It’s even more complicated than that, though, because any kid that can get into the Ivy League is probably going to be offered academic scholarships as well as financial aid, which simply don’t exist in the IL schools. So a kid that comes from a household that makes 175K won’t get offered anything from an IL school, but a top state honors program would very likely waive out of state tuition. On the other hand, a kid with a household income of under $30,000 would be offered a totally free ride to the ILs, but most state schools would expect them to contribute $3-5K a semester, IME.
Then there’s the fact that once you are admitted you can actually negotiate–once the admit you, they really, really want you–and sometimes get schools to match offers.
About all you can do is apply to a wide variety of schools and see what you get. It’s really impossible to predict which will work out as the better deal.