Essentially what I said boils down to this: when evaluating SITG, it is necessary to identify which game.

If the game is the idea that the world would be better if taxes were 90% and that idea is held by somebody who doesn't pay taxes, he does not have skin in that game. He could, however, have SITG that emerges from that belief, like when he hangs out with his stupid friends and they talk about their stupid ideas; he might have skin in that game of talking about stupid ideas with his stupid friends.