Exactly. There are many schools (in the east in particular) where privileged children end up who didn't get into the Ivy League, Stanford, U of Chicago or U of Michigan.
The value of the alumni and professional network of these lesser schools, as well as the brand name, is lower than the top tier schools, but the parents often did attend a more elite school, and their network offers inter-generational benefits.
It's interesting that state schools like Michigan accept a large number of less competitive in-state students, thereby providing the sort of springboard you mention, while also attracting a top tier of students that is on par with those attending Ivy League schools.
For what it's worth, when I saw that you looped in U of Michigan with the ivy leagues I thought you must have attended U of M. I don't view U of M with anywhere near the same level of prestige.
The value of the alumni and professional network of these lesser schools, as well as the brand name, is lower than the top tier schools, but the parents often did attend a more elite school, and their network offers inter-generational benefits.
It's interesting that state schools like Michigan accept a large number of less competitive in-state students, thereby providing the sort of springboard you mention, while also attracting a top tier of students that is on par with those attending Ivy League schools.