I think that's right. So the author's description of "anything non-trivial" is weakened to "anything non-trivial maintaining information symmetry", which feels

I think that's right. So the author's description of "anything non-trivial" is weakened to "anything non-trivial maintaining information symmetry", which feels constricting, certainly no longer "frighteningly general." This also reveals a strategy for townsfolk who wish to survive: simply inform a blue-dot of their color, breaking the logic chain. That winning move ought to factor into the strategy of these perfect logicians!