My son works for an international as a consultant. His starting salary was totally based upon his school; graduates of other schools started lower (5 figures lower). The gap has not been closed in three years.
My daughter (same school) works in IB. She was not top 10% of graduating class; others in her cohort, from other schools, were required to be top 10%. While she is not objective, she claims her school prepared her better for this type of work; not in giving her actual, useful knowledge, but in teaching her how to think, analyze, communicate (orally and in writing), prioritize, work in hard bursts (often times 100/hrs per week), teach herself new areas and produce unique work product without constant supervision.
Be sure you are narrowly defining HA; there is a difference between admit rates of 4% and admit rates of 15%. (Also, those 4% schools have incredible FA. We got roughly 40% off [over 6 years] sticker with no loans. Ask for a FA read before committing if ED is asked of you.)
Press the coach to tell you what players who graduated over the past 5 years are now doing.