Screenwriters are the ones who should do that kind of research, where necessary. The director says if he likes the script and shoots it. He's not expected to be an expert in such minutia, especially if it's not germane to the story.
BS. In this genre, you have to KNOW the world you're world-building in.
He's directing a movie, not a genre. Some trekkies may take the minutiae all too seriously, but what matters is that he's made a film that apparently a lot of people enjoy and that's going to be tremendously successful.