I don't think submission is anywhere in the pack order of human interaction. I always got the feeling that it was a IF I CAN'T SEE THEM, THEY CAN'T SEE ME. like a little kid game. but, if that alpha male ever gets close, I'll role him over on his back and rub his belly. LoL unless, he tells me about his plight of looking hidious wanting an extreme makeover and a salon perm.
now, it would not surprise me one bit if they did the submissive head turn when dealing with each other. In fact that is probably the norm. this also makes me wonder the age of the monkee that might make a contact like MH is talking about.
if it is a younger one, that would be believable- up to the speaking to the human about it's physical traits.