So would "nager" correspond to "marcher" and would "faire de la natation" correspond to "faire une promenade", where the first pair is like a skill/ability and the second is the partaking in the activity?
so, it's not "faire de la natation" because it's a negative statement. Is that correct?
I would say simply " I can swim but i don't".
I would love to know the mechanics that make nager into natation here.