Maybe we're trying to solve too many problems at the same time. In analogy with Purchase Fuzzies and Utilons Separately, I'd guess that the activity that best promotes physical fitness isn't the activity that best trains transferable skills isn't the activity that is the most fun, so spending some time on something intended to improve physical fitness, some time on something intended to train transferable skills and some time on something intended to be fun is probably better than spending a lot of time on something that haphazardly tries to achieve all three. (Also, which activity is best for a given goal is likely to vary from person to person, so beware of other-optimizing.)

I couldn't vote on any of these because it's going to depend on each individual and what they need from sports. I might want to play sports for the exercise value, but others might already have an exercise routine in place and they'd want it e.g. for the relaxation value. I might need it to be fun and easy to learn or I won't end up doing it, while the more competitive amongst us might require lots of competition and/or lots of spectators to cheer them on.