What I don’t understand is how they make appeals during Aleinu and recite Kaddish right afterwards. Mima Nafshach, one of them wasn’t done: either the appeal was a waste of energy or Aleinu was not said. If the latter is the case, why would you say Kaddish after an appeal?
As for the main point being discussed, some things are not polarizable. It is a problem that they Shter and it is a problem to send away Aniyim.