There is no rational connection between education and competitive sports. Few civilized countries even have school sports, and none of them take sports to the extremes that we do. The countries that we admire academically have no interest whatsoever in school sports (e.g., Japan, Germany).
Sports are great. I loved playing sports when I was a child & teen, and every kid should be introduced to a variety of sports (and other activities) to see if there is any interest or benefit. In my own family, kids are consumed with club hockey, Soccer, Irish Dance, Yoga, Karate, and so on....NONE of them school-related.
If you suppose that the end of school sports would result in the end of competitive sports for kids, all I can say is, you are wrong. Where there is a will, there is a way.
Of course, this is a pointless discussion. School sports provide free babysitting for millions of parents who want to avail themselves, and as one of our members who claims to be a teacher says, the end of school sports would result in a massive crime wave, and POC Yoots would all drop out of school without graduating.