I wonder what the data would show if you compared the money invested in admissions to that invested in alumni affairs & development, and how much is brought in by tuition and fees and how much is brought in as donations. From what I've seen, development is definitely an area that operates on the "you have to spend money to make money" principle.
I think a big issue is that the regulations on loans are removing any and all notion of supply and demand, so costs just keep getting crazier and crazier. Living on campus at an average private nonprofit university now will run you more than $50k a year. [3] Spending $2,357 for what may likely be $200k+ for 4 years is a phenomenal return on investment.
As usual, non-profit in practice and non-profit in connotation really don't mean the same thing. I attended a top 10 university only to see them constantly tear down perfectly functional buildings just to replace them with more aesthetically pleasing buildings that otherwise functioned just about identically. In some cases the new buildings had less room than the older ones. All it seemed to achieve was to 'Amazon' their profit figures. I don't really understand why they seem determined to waste so much money. The cynic in me imagines it's easier to justify a million dollar administrative salary when that's a much smaller fraction of your gross, and a "non-profit" institution would have difficulty justifying constant cost increases if they're showing a massive profit margin.
[1] - https://nces.ed.gov/programs/digest/d18/tables/dt18_105.30.a...
There shouldn't be student loans from taxpayers in the first place. If voters want to give assistance to students, then pay all or a portion of their tuition. If the financial markets deem education to have a worthy return on investment, they will underwrite loans just like any other loan.
1) Pay 2) Stay the full 4 years
So yes, the "best" students (the ones who will pay full price for 8 semesters) are very profitable for them.
The small liberal arts college I attended recently had a year where it could only fill 600 out of 700 potential seats. The college filled out all 700 seats the next year, but redoubled their targeting and recruiting and used more waitlist admits than usual.