Yes I am sure every person in the street thinks of him as Captain Sulu.
SO, if the guys just literally only out for a paycheck then that makes sense. But if you are actually an actor who wants to to earn a living and cares about development of your character its completely rational. Even if its just for how you portray your character (like how actors in their own minds expand their own backstory), and no one ever notices it or if it never leads to a story idea. Its still impacts how you portray your character.