I've done all three and spent years in each.
While I agree with your overal premise, none of the above could match an education through aiki and hours and hours of solo work and slow paired movement drills in order to go back to a couple of items on that last and do them differently. Example: I do not lift rocks, dig or split and stack cordwood the same way I used to.
I think there is a duality, one which is surface and rather obvious, the other a much deeper study.
Nothing to argue about there. I look at the three things I mentioned as darn good preparation for life stuff (martial arts, job, social, whatever) - akin to some undergraduate prep. Whereas the deeper study portion of the aiki, that in itself becomes a lifelong pursuit of self-cultivation that then feeds back in to any other activity you undertake - into graduate and beyond post-doctoral studies.