Right, of course they have the right to prevent me from connecting to their network. But as I understand the FCC advisory, they do not have the right to stop me from using my own personal cellular hotspot, for example.

Does your university actually block all other wireless networks near / on campus? This is prohibited by the FCC.

At my university, the wireless APs would scan for others and try to detect if they were on-network using a student's auth. They'd tell the student to remove the AP if they wanted to continue to have access to the school network. Wireless, off-network hotspots were allowed, provided they weren't impersonating the school network.