I am trying to learn more about this deal and a couple of things come to mind:
1.) Utah's big rival BYU is owned and operated by the Mormon church which has an investment arm (Ensign Peak Advisors) and a capital fund of about $100 billion which comes from church members tithing and contributions, which is tax deductible in the US. Undoubtedly BYU has access to that capital, and does not have to disclose, at least under state law, expenditures under FOIA as a private institution.
2.) since the recipient of PE funds is a public education institution, could there be a financial structuring instrument that is very tax friendly to investors? Possibly.
3.) the state will host the 2034 Winter Olympics and the university will receive financial infusions to host athletes in an already built Olympic village/current student housing as well as hosting to various Olympics-related activities so is it possible part of the ROI for the private equity will come from Olympics money? Again, that's something known only to the university and the private equity investment firm.
My point is that this has to be attractive financially to everybody and has been in study for over 18 months now. If it works for Utah, will it work everywhere? No. A unique set of circumstances MIGHT make it work. But big donors aren't going to just pump money into the athletics program forever and there is no Permian Basin in the Beehive state to provide PUF for capital construction.
Here's a local article that goes into more depth:
https://www.ksl.com/article/51417040/why-is-the-university-of-utah-partnering-with-a-private-equity-firm-for-athletics