I've said it before and I'll say it again . . Everyone at some point in their lives should do the following:
1) Work long hours outdoors (i.e. on a farm)
2) Participate in some sort of performance art (dance, choir, theater)
3) Compete in a combat sport (Judo, wrestling, fencing, etc.)
All 3 will greatly inform any martial art you "do"
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.