This is one of those items which belies the supposed infallibility of TMoST. The book came out between seasons 2 and 3. The "recreation area" is, I am given to understand, the first inclination to what would be become the holodeck on TNG. It also made an appearance on TAS ("Practical Joker," IIRC). The line about the set having already been built and the promise that it would be seen in season 3 is patently false. The scene in the season 1 episode "The Man Trap" is a redress of sickbay, and the season 3 botany lab was not a standing set, so the line of having built the set is, sadly, nonsense.