Despite Brown having triple the sports I can almost...

...guarantee that its athletic department budget is smaller than Vandy’s, likely substantially so.

My wife coached in the Ivy League for over a decade. Those athletic departments are lean to the point of being unrecognizable to someone familiar with a Power 5 department. Functions that at a place like Vandy would have teams of people (sports marketing, compliance, etc.) staffed by one person, often young, underpaid and inexperienced. The poor quality of athletic training because of under/inexperienced staffing has been something of a scandal at a couple schools.

Early in my wife’s career (mid 2000s) I used to be the PA announcer because they didn’t pay anyone to do it.

I don’t disagree that Ivy athletic budgets are going to be under pressure (although note that they are increasingly funded via specific endowments). But relative number of sports isn’t necessarily a great way to think about their budgets.