OK, for those following along at home - at this point it is purely an intellectual exercise, since I got what I want, but...
I brought in a never-touched-by-IT laptop (my daughter's MacBook Air), connected to the network, and it created a Mojave install USB disk both in terminal and using DiskMakerX 8.
I rebooted the Mac mini in recovery mode, and turned off the firmware security (it was set to "medium", then rebooted again, and made sure there was NO other user. Terminal and DiskMaker both failed, with a custom, university dialog box.
So I connected to a VPN, and tried again - still failed, so the problem, as best I can see, is on the computer somehow, despite the drive having been wiped.
Baffling, but now that I am the sole user and all of my customizations are in place, I will ignore it, but it IS weird! That restriction is the only (readily apparent) vestige of IT having had this machine for a day, but it is a stubborn one!
[doublepost=1558034094][/doublepost]That is one of the many things that seems so crazy about this policy - students bring their own computers and connect to the network without interference, while faculty are restricted. It is baffling, but I suspect is part of an evolving set of policies the university is creating.