If he's going to major in performance, you need to consult with the saxophone professor in that institution. They can get real picky about what instruments their students play (generally, you need to play the same make as the professor or as the professor's teacher). While a 80 year old King is a very fine instrument, it's not a Selmer or Selmer copy (Yamaha, Yanagisawa) - as preferred by the French school, or a Buescher True Tone or Aristocrat as preferred by the Rascher school - so it's likely to be an ongoing sore point. I think it's highly unlikely any school has such a thing as a primarily baritone position, I think they all focus first on alto, then soprano or tenor.
What does he think is wrong with the Yanagisawa? By all accounts they're great horns.
Don't get me wrong, that King is probably a great horn, but it is NOT what I'd send a kid off to major in music performance on.