...OK, I have little experience with the game Taboo, but people claim to have found 5 major instincts that together provide "mechanisms" for nearly all societal codes. I care more about the first two then the others.

Before, I linked to evidence that dogs care about Fairness in a way that seems to clearly increase their chance of surviving to reproduce in the wild. (Though I admit they'd likely never have to face the Pirate Game as such.) This study purports to show Empathy and its backward cousin Group Loyalty in mice.

Your examples seem to work by Authority, which I feel pretty confident exists in other animals (especially for children). It makes a certain amount of sense to describe rules of this nature as ways to assert political influence, provided we include unconscious political behavior and allow a wide range of motives for wanting to influence others.

"Purity" seems like a mindless animal's version of germ theory.

(Edited once for clarity in the first paragraph.)