Would they bow to social pressure or do as they please?
Nah, Yay has bent over backwards more than anyone else in the cast to help the crew. While they can do whatever they want, they don't express any sense of entitlement to that fact. In every instance where they express that they could do whatever they want, they've always asked for permission, and constrain themselves heroically when literally pushed around, out the door. Even went so far as to ask Elliot permission to play with Hercules sans Elliot, when they could easily just do it and leave without Elliot ever knowing due to their omniscience, Melon never even asked permission, she just violates personal space whenever.
I've experienced people making demands like this, and its just an over the top theatrical demand for a small thing, but would instantly accept a "no, maybe later" and not throw a fit about it.