Earlier quoted context omitted.
Any group of more than 2 people is always "political" :) There's a reason all Olympic sports where you can interact with your opponents only have 2 teams/opponents facing off at the same time.
I'm good with olimpic gold medalists in rowing and i think there isn't much politics there. Especially between teams. It wouldn't even make sense to involve politics in sports (yes i know football, basketball and such..) as the competition is to find out who is the best and not who is the best connected.
By politics I mean that you can cooperate with a part of your opponents to side line some of the other opponents.