It is important to have advice on interacting with new people who have different personalities or cultures, and that is quite different from social games. It is a way to make things easier for the other person and to assume the other person doesn't haven't to accommodate our flaws, assumptions, and social errors. It's about learning to work within the other person's assumptions, so they don't have as much burden of adapting to you. It is about the kindness of letting the other person have more free reign and be authentic. I care 100% about authenticity.
Edit: for clarification, I would say that this sort of adapting is the same in my mind as getting a person a blanket who is cold, but it is the abstract version of it. There is also the initial aspect I mentioned of self protection if I think the person is intimidating. I have an intimidating mentor from the past whom I adore and admire, but I would advise someone to not try to impress her verbally, but to just let her make up her mind about your ability. She is not impressed by any attempts at "bragging", and sincere people can do that. That is a good example of the type of advice I was thinking of when asking the question.