It objectively improves an academic institution's overall profile and academic capabilities. This isn't remotely up for debate, it's well established in literature and practice that athletic success is beneficial for the overall academic mission of a university. This is "settled science," as it were.
One and dones come on campus, get into no trouble, and go on to make more than a lifetime of earnings for the average graduate from their institutions before they turn 24. Get over it.
You're moving the goalposts.
Everybody knows that athletic success improves a school's
image.
Thats isn't up for debate (although the way you phrased it is certainly inaccurate)
What we are talking about is a university that essentially cheats by bringing in athletes who are far less qualified than the normal student. The discrepancy for Duke basketball is extreme, compared to other programs.
It is unethical and, as such, undermines the academic reputation of the university.
Essentially you are arguing that if a bunch of accounting firms have a basketball tournament every year and one of those firms insists on hiring temporary employees who happened to play D1 basketball, then thats perfectly acceptable (do anything to win!) AND makes that firm better at accounting.