In the real world, though, athletics keep at-risk kids in school and trying to get grades because they want to play and need to make satisfactory progress in order to do so. Athletics have helped a ton of kids grow into prosperous adults because it kept them invested in their educations until they realized that it's what they needed to do anyway.
It is also bizarre to make a claim about "better run" countries where people just walk home instead of other transport methods
Edit: You seem to be having a conversation with yourself and making points that no one is arguing with. Maybe try replying to what people say instead of forming a different argument and then attacking that.
Of course there are plenty of American communities that I'd describe as highly walkable, but even then you have social matters to contend with, such as rampant "stranger danger" paranoia and lawsuit culture that, in America, have some school district in walkable communities forbidding students to walk to school for liability/paranoia reasons. I don't think it's bizarre to describe communities without those two issues as 'better.'
To that I say:
1) Plenty of poor kids do find ways to participate in school sports. Let's not throw that baby out with the bathwater.
2) Where this is not possible, it would be better to find ways to make it possible than to get rid of something good for everyone.
If you want to have public sports programs, that's fine. It has nothing to do with school, should be an entirely separate pool of money, and IMO, should be entirely self-funded.