No brainer. You go out in that situation and take the pictures at a minimum. In auto racing they orchestrate this sort of thing all the time. If the other coaches are acting like sore losers than they are not representing the organization properly. How childish to act improperly as the adults in the situation. (I don't buy the 'only kids in the picture' rationale, they could come out and say that/agree with your team on that.)
It is a game, people, probably one of the first of many tourneys this season and already acting like that? Going to be a long season for them. If I were head of the org, I would take it up with those coaches immediately and make sure it never happens again.
Maybe they wanted to be like Bruce Jenner. They'll come out eventually!