Totally true! I remember my being at my brother-in-law's wedding the summer we hired That Matta from Xavier. One of his family members went into great detail explaining how we shouldn't get comfortable because he would leave us after a couple years. I laughed and told him to name one head coach that left Ohio State voluntarily in the last 25 years. I gave him the entire wedding, of course he couldn't name anyone.
I then went into explaining that Ohio State is a place people ASPIRE to coach at. People work their whole careers to get a job about OSU. Nobody aspires to be at Xavier/Butler/Univ of Cincinnati. And to some extent, even other B1G schools are just stepping stones to bigger universities.