Private colleges stagger under all kinds of regulation. I was on the Animal Research committee - you should see what kinds of approvals are need and legally mandated for a chicken or a rat to keep them safe and happy.
We are mandated to provide certain facilities for you to take a dump in or else the state comes a calling.
The way sports teams are funded and opportunities for gender equality are controlled.
How crime is reported is mandated by the government.
So when the private property folks say - It's private - they basically have blinders on.
Only when it comes to denying the right of self-defense do these folks have a hissy. How many of you didn't send your kid to college because there were state laws about the crapper or the rat cage? Did you stand on principle then?