I think outdoor activities are wonderful for children mentally and physically and gentle encouragement seems appropriate at this point. But as someone who never enjoyed the same activities as my mother, as he grows older it may be worth thinking about what your family dynamics will be if he simply isn't outdoorsy? In my case, the mismatch did lead to some feelings of alienation because I never got a parental signal that it was ok to be different. I have no idea where the right balance is between pushing and accepting, but it something I ruminate about quite a bit as a parent.