I really don't see how your reply made a new point. What the other person was responding to was that even if you were to construct your positive sum game, you will have politics because reward distributions are not equal. The very fact that some people receive bigger bonuses, RSUs or promotions and others don't is an unequal distribution such that politics will be there.
Say everyone is compensated with equity. The goal is to increase share value. Yes every action that each employee takes in theory is going to be toward that goal because that's how they're incentivized through the compensation. But in reality you do a performance review and you have to decide how much some person contributed to the overall result, which isn't possible to objectively determine. And in that space of perception and subjectivity is were politics, or as I call it social arbitrage opportunity, exists.