Perhaps she should apologize for disrespecting him by either being wrong or making up a lie about why being in the closet was dangerous. Using a scare tactic or otherwise to validate a simple rule seems like she was trying to be heavy handed or a vague attempt to be punitive.

Then again people who closely guard their authority and have their emotion and ego tightly wound together find all sorts of ways to be punitive. Given that band has even more room for subjective muscle flexing... nevermind... I got nuthin'...

Oh wait, except maybe one good social rule for him which has nothing to do with respecting authority or anything that may be confusing to apply:
"Unless there is a chance of injury due to false information or you are specifically told your role involves correcting someone else, don't correct others."
If the urge is overwhelming, a simple "Ah" or "Interesting" or more deviously "I hadn't thought of that" (internalized for the self, this translates to: I would never have thought of something so blatantly false) should suffice.