Martial arts are good for getting some people who aren't interested in usual team sports to enjoy being active, but they're also very bad at getting many people who do enjoy more standard activities to be active. This brings to mind Yvain's experience teaching, where he found that the most effective methods to getting to most students were exactly the ones he'd found boring as a kid.
I've never participated in a Feldenkrais session, but looking it up, it doesn't strike me as something most students would be enthusiastic about either.
My issue isn't so much with methods of teaching as with content.
I don't think that there any reason that justifies teaching a kid to jump as wide or as high as possible. The same goes for activities like shot putting. If you optimize your jumb for distance you aren't optimizing it for using your body in a way that prevents you from hurting your back.
A goal of present sport eduction is to train children to be good at the Olympic activities. I object to that goal.
As far as team sports go they aren't as bad but I still don't think they are optimzed to teach useful life skills.
If it's worth saying, but not worth its own post, even in Discussion, it goes here.