Sounds like that's a problem for the pro sports leagues to solve. They have the money to do it, so they'll be fine.
Baseball does an adequate job with its system of minor league teams. Pretty much every other country in the world manages to have professional sports leagues without having universities be their feeder teams.
Even in your scenario, there's nothing stopping the aspiring golfer from attending Stanford part-time while they try to make it in pro-golf. Or applying and deferring admission for a couple of years. Frankly, they'd do better academically if they didn't have golf distracting them.
Baseball does an adequate job with its system of minor league teams. Pretty much every other country in the world manages to have professional sports leagues without having universities be their feeder teams.
Even in your scenario, there's nothing stopping the aspiring golfer from attending Stanford part-time while they try to make it in pro-golf. Or applying and deferring admission for a couple of years. Frankly, they'd do better academically if they didn't have golf distracting them.