In addition to your cases that fail to be explained by the four modes, I submit that Leonard Cohen’s song itself also fails to fit. Roughly speaking, one thread of meaning in these verses is that “(approximately) everybody knows the dice are loaded, but they don’t raise a fuss because they know if they do, they’ll be subjected to an even more unfavorable game.” And likewise for the lost war. A second thread of meaning is that, as pjeby pointed out, people want to be at peace with unpleasant things they can’t personally change. It’s not about trapping the listener into agreeing with the propositions that everyone supposedly knows. Cohen’s protagonist just takes it that the listener already agrees, and uses that to explain his own reaction to the betrayal he feels.
In addition to your cases that fail to be explained by the four modes, I submit that Leonard Cohen’s song itself also fails to fit. Roughly speaking, one thread of meaning in these verses is that “(approximately) everybody knows the dice are loaded, but they don’t raise a fuss because they know if they do, they’ll be subjected to an even more unfavorable game.” And likewise for the lost war. A second thread of meaning is that, as pjeby pointed out, people want to be at peace with unpleasant things they can’t personally change. It’s not about trapping the listener into agreeing with the propositions that everyone supposedly knows. Cohen’s protagonist just takes it that the listener already agrees, and uses that to explain his own reaction to the betrayal he feels.