If I teach you to stand at attention, put your hand over your heart, and speak the pledge of allegiance to our flag, or teach you to speak the lords prayer (a pledge of allegiance) while kneeling, hands clasped, and both actions, once habituated, fill us with ‘a sense of peace’ when performed as a group, what is the difference?
The central issue is this: we need those collective rituals to invoke the pack response which generates intuitionistic trust among superpredators who do not necessarily trust one another, and who compete in all other walks of life OTHER than the ritual. Those oaths to a proxy of each other are useful to associate with that response.