I don't think this needs to be settled ahead of time. If we shut off the tap of infinite student debt funding I guarantee the universities will magically discover what administrators and departments are dispensable quicker than you can imagine.
I don't see what assurances you have of this guarantee you give. As so far it seems like when funding is cut, faculty (teaching and research) and academic departments are cut and financial aid is reduced, rather than major cuts in administration. So it's worth discussing what administrative units are cuttable, or come to the realization there is no free cuts to make to administration without sacrifices to some existing principles.
If we can't trust these organizations to make the right (and obviously needed) cuts in order to still realize their value to society in the face of reduced funding, then they don't deserve to be the ones teaching our children in the first place.
I think we just keep going back to the same issue -- people agree that administration is too big. But if you break it down to actual positions or administrative units, it's not clear there is any agreement. There is no such thing as "right cuts" because that implies it's clear which parts of administration should be cut.
Same with government. Government waste is bad? Of course! Trim unnecessary government spending and pork barrel? Yes!! And which branches and positions should we cut? The Right Ones!! [cue nothing actually happens]
What I'm getting at though is that it's a distributed problem and that I frankly don't care if everyone gets it right.
Shut off the money first. Some of the universities will make their cuts in academic and research departments. That's fine. I don't expect we'll hear too much from them after a while. Good riddance.