wis75, I don’t doubt that it is the medical school that matters for getting into residencies (and the medical school record). But the undergrad school and the experiences there may matter for which medical school the student gets into. I have seen this play out to some extent with students in my classes. There is also some carry-forward from the undergraduate degree later in life.
romanigypsyeyes, if the OP were asking about the University of Michigan vs. a full ride at Michigan State, I would have to think very much longer about what to advise, and the University of Michigan might not win for an undergraduate pre-med. The University of Michigan is higher-ranked, but UM/MSU are more like each other than either is like Central.