Nobody cares where you graduate from school in engineering. It's all about what you can do, and in larger corporations, also how politically savvy you are. Most of middle and upper management (VP / SVP) also has degrees from no-name schools. If anything, they'll have degrees from worker bee / nerd schools like CMU, Caltech, and UC Berkeley, not Ivy degrees (except for Cornell, which is basically a public school). Upwardly mobile engineers are usually immigrants with high IQs who don't have connections and so have to work 60-80 hour weeks to make up for what they normally could have gotten "for free" with a more privileged upbringing.
The C-suite is a different story: The Ivy Grads are either joining their parents' companies, going into VC, or starting their own companies (YC), not working as lowly "senior" ICs at say Amazon. Chances are the company you work for was founded by a Harvard or Stanford grad who spent their school years partying and networking in social clubs instead of studying...
You might further split Ivy into HYPS and others (Stanford is much more like the other Ivies than Cornell). The others like Brown and Dartmouth are more like a Northwestern / U-Chicago, for people who didn't quite make the cut or for good test takers from upper middle class rather than upper class backgrounds.
UPenn and Columbia lean in the middle. Sure, Elon Musk and Donald Trump went to UPenn, but the school itself still mainly graduates "just" worker bees in finance / investment banking. Your coworkers at Google didn't go there, though.
There are always outliers at all of these schools, but by definition, they are the exception rather than the rule...