Bill Blakemore mistakenly attributes a literary quotation. "History is a nightmare from which I'm trying to awake" is from James Joyce's Ulysses, not from anything by T. S. Eliot.
One of the theorists claims that Room 237 is a reference to the mean distance from the Moon to the Earth: 237,000 miles. However, the actual distance is 238,856 miles.
In one of the trailers, a card is shown: "Neither this film, nor any view or opinion expressed in it, nor the context in which film footage and images are used, is approved or endorsed by, or is in any way associated with, the Kubrick 1981 Trust, Stanely Kubrick's family, Warner Bros. Entertainment Inc., or anyone else connected with the making of the motion picture The Shining ('The Shining Filmmakers'). The views and opinions expressed in this documentary film are solely those of the commentators in it and do not reflect the views of Stanley Kubrick or The Shining Filmmakers." Stanley Kubrick's name is misspelled in the first sentence (assuming it is not deliberate).
58 minutes in, the narrator says that the Timberline Lodge does not have a room #217. This is not correct. The hotel does indeed have a room #217 - there are many pictures of it on the web and reviews of guests who have stayed in it.
One of the documentary's interviewees suggests that Bill Watson's trousers change from being plain to patterned during the interview scene. Although the documentary attempts to back this up with a split-screen showing different shots, the trousers seem to be patterned in both. The example footage isn't the highest of quality so the pattern is more difficult to see in one shot, especially as the camera is further away.