This actually devolves into human neuroscience, the more I think about it. "I want to throw a ball fast, because I want to win the baseball game". The predictive processing theory view on the statement says that the set point at the lower level (your arm) and the set point at the higher level (win the baseball game) are coherent, and desire at each level doesn't directly affect the other. Of course, you'd have to abandon a homunculus model of the mind and strongly reject Korsgaard, but that's on shaky ground scientifically anyways so this is a safe bet. You can just say that you are optimizing for your village as a higher level set point, but are hunting for game at a slightly lower level set point.
Note that sport is not a terminal desire, as well. Is a NBA player who plays for a trophy not playing a sport? Or a kid forced to play youth soccer? So you can't even just say "sport must be an end goal".