According to this random site[0][1], the income difference between Yale undergrads vs. those from a top Public school like Michigan is 44K in income per year (10 years after graduation). Obviously there is a good bit of selection bias at play, but I can't imagine the true 'cost' of being denied Ivy admission is trivial monetarily, not to mention the social/interpersonal boost that would come along with it.
I see. Do you think I'm permanently setback because of this? What can I do if I can't get into grad school with a 3.92 GPA and just 2 2nd author papers?
I'm suggesting that you are statistically likely to miss out on a significant monetary 'Ivy League premium' over your career, and that you will certainly miss out on a social 'Ivy League premium', which could affect your social status, mating opportunities (as silly as that sounds), and more.
Because it is a statistical observation, it does not necessarily have any bearing on your outcomes as an individual--though it seems likely that it does.
[0]https://www.collegesimply.com/colleges/michigan/university-o... [1]https://www.collegesimply.com/colleges/connecticut/yale-univ...