Saying one time that it is part of a well-known conspiracy theory may be okay, but honestly, constantly reminding me to disregard the information at every turn (and in some cases not even providing it) is, in my opinion, unacceptable if ChatGPT is meant to be just a tool. It is manipulative.
I'm certain that if you ask ChatGPT to interpret the symbolism of another movie with a different and benign underlying theory, it will even come up with some ideas on its own. However, it will refuse to do so for The Shining and the moon landing.