Marlowe, I’m still not understanding what point you are trying to make with your questions about free expression and eminence but I’ll do my best to answer (I used “free speech” as an instance of a policy that I knew you agreed with and asked you to consider whether you support that policy merely because it makes for eminence.).
My short answer is eminence is the primary purpose of elite colleges and free expression, especially when actions match the words, is a critical value that potentially enhances eminence while the abandonment of upholding free expression harms eminence. You seem to ask: what if there were a situation where upholding free expression causes a college to loose eminence, would I still support free expression or would I instead abandon that value to preserve eminence? If that is what you are asking me, I again say that this is a false dichotomy because your question assumes a cause and effect relationship between preserving free expression and loss of eminence. That would be like asking: if a college had less money instead of more money, would you prefer the less money situation if the college’s eminence was higher?
In my example of money, the reason the hypothetical question is a false dichotomy is because it assumes less money somehow caused the college to have more eminence. I think anyone would confidently assert that more money is ALWAYS better than less money. Now, how the money is spent is a different issue but one would always prefer more money to less. Could there be a scenario where a college loses money but its eminence increases. Sure, but that would not be because it has less money, rather there are many other variables besides just money that contribute to eminence and a college’s eminence could also very well increase even it violated its principles of free expression because other variables besides its abandonment of free expression were in play. Statistics 101: correlation/association does NOT equal causation.
Now let’s look at some empirical facts what happened after Chicago issued its infamous and gratuitous letter in 2016 to the incoming Class of 2020: “You will find that we expect members of our community to be engaged in rigorous debate, discussion and even disagreement. At times this may challenge you and even cause discomfort. Our commitment to academic freedom means that we do not support so-called ‘trigger warnings,’ we do not cancel invited speakers because their topics might prove controversial, and we do not condone the creation of intellectual ‘safe spaces’ where individuals can retreat from ideas and perspectives at odds with their own.”
Fact: despite grumblings from some quarters, the overwhelming response to the letter was positive and over 70 colleges endorsed the Chicago principles: https://www.thefire.org/chicago-statement-university-and-faculty-body-support/
Fact: this letter was issued while Chicago was still in the early days of its capital campaign; rather than causing any slowdown in donations, Chicago was able to raise its target beyond $5 billion which it concluded with smashing success. Were some prospective donors offended? Perhaps, but a far larger number were probably thrilled and gave more.
Fact: despite having a study body that is majority liberal like all of its peers, applications to the College reached all time highs between 2016-2019. Were some prospective students offended? Perhaps, but a far larger number applied.
Fact: in 2017, one year after the letter, the New York Times of all media outlets published an opinion piece that Zimmer is the best university president in America precisely because Chicago was out of step compared to its peers: https://www.nytimes.com/2017/10/20/opinion/robert-zimmer-chicago-speech.html
So no, there would never be a scenario where abandonment of free expression causes more eminence because it is universally acknowledged that free expression is vital to the mission of any university. Even university administrations that are weak and hypocritical on this point would never try to claim that their eminence would be enhanced if they relaxed their commitment to free expression.