It appears that this classically men's game is actually a women's game. Why...? You will notice that a pawn can become queen, or any other piece except king, upon (!) making it to the opponents side. Since that pawn can never become the one certainly-male piece - but can become any other, including the one that is certainly female - it appears that the only male on the board is the king. The king has little power, is very vulnerable, and does not have any form of potential.
Of course, in this apparently Amazon-esque society, the king would be imperative for populating society, but nothing else. Since the primary goal of the game is to capture the other king, not obtain territory nor kill the warriors, perhaps then, the goal of chess is to acquire breeding stock!!