It sort of exists. In Reading Rainbow S6E1 "The Bionic Bunny Show", LeVar gives a tour of the TNG set and explains the show production. (somewhat odd, IMDB has the episode incorrectly listed as S5E1)
You can watch this episode on youtube, and also just the Star Trek parts of the episode which were recut as a special feature for one of the TNG Bluray releases.
Already happened; there was a Reading Rainbow episode where LeVar Burton showed the audience the Star Trek TNG set. He showed how the transporter effect was glitter stirred in a glass. It was pretty awesome to see that as a kid and it also made some connections between fiction and reality that can really help ground an impressionable mind.
Instead of reading children's books, he's reading the warp engine operation manual and Introduction to Advanced Warp Mechanics.
Shouldn't Geordie have a yellow uniform? Or is he no longer in engineering when promoted to the reading rainbow department?
He is certainly "in command" there, at least of his audience's attention.
