Could listing rival schools under the ‘where else you’re applying’ section impact your chances of getting in?

Some schools ask where else you’re applying to. Some people say it’s for yield protection, others say it’s for statistics. Whatever.

Title. Take U Michigan and Ohio State for example, football rivals but not academic rivals. if you were applying to U Michigan and listed Ohio State as an additional place you’re applying, could this impact your chances?

This isnt something i actually did, but just for funsies lets discuss