This is exactly what I am thinking. The investment at the LP level is typically in equity, not debt. That suggests a longer term investment. The capital injection is accretive to the value of the conference (and therefore the investment) by raising payouts to member schools as one example. That in turn keeps some teams around and viable, while attracting other teams that also want to remain viable. This can make the conference something of a selector that can build value for things like TV deals (increases through look-ins) or simply selecting schools that have sound AD fiscal responsibility to ensure there will not be losses or drop offs in investment, making it a safer investment vehicle (like how blue chips are not often high reward, but also not high risk, especially over a longer term). All the examples
CIL gives are GREAT examples of how investment can drive value without relying on the skill/fiscal responsibility of the individual AD. It will incentivize ADs to reinvest, or find ways to become more profitable so that they CAN reinvest.
When I work on an operations budget for a property, I am often reminded of the sins in building the property. Those "sins" were often the result of trying to maintain the debt budget, (money borrowed to build the property) so that balancing must be done with great care. It demands responsibility and strategy. This is where so many ADs lack the discipline, instead leveraging their future equity to justify blowing the debt budget. Private Equity will not allow for this, which is why I see it happening at the conference level first (at least with any substantial investment). The PE at the AD level is already happening in the form of alumni donors. These are the seed investors. The Arthur Rock of the scenario.
Arthur Rock - Wikipedia
The outstanding question there that we have all been asking is, "what is the return?" Why did Standard Oil invest in Syracuse University, (see Sims and Archbold)? The answer there I believe was largely "tax shelter". Now-a-days, it could be access to talent. Could argue this is why it's increasingly important to become a research institution. Look at the B1G and their dedication to engineering, bio, and tech research. This is why they insist on being an AAU member (and BTW, half the ACC schools are also members - GT, Cal, UNC Duke, Pitt, UVA, Stanford, Miami, Notre Dame).