Also, for that matter, the difference between a "Jesuit" and a "Catholic".
If a denomination doesn’t want the loose behavior of a university to reflect back on it, then it should not lend said university its name. Sounds simple to me.
“Marquette University is a Catholic, Jesuit university located in Milwaukee, Wisconsin...” From their website.
Would they not be part of the RC church?
It’s hard to defend for the RCC, but keep trying. Or, see truth.