thinking of it from chess origin point of view leads to that green as an army has a clear aim is to kill the red or yellow king so when he has the opportunity to do he must do regardless of what is happening to his king after .
in an easy way , their is no reason for war after king dies
but in fact its more complicated because if you allowed that you should give every player the opportunity to play any other move when his king is under check leading to the two possibilities of his partner saves the situation or his king being captured and then that will be far away from our regular chess .
so i think we shouldn't allow this , we should give priority to the check
i like it YES