I disagree with the assertion that sharing Lunatic as a bluff tells the player they are not a Lunatic; you can just as easily tell the Lunatic one of their bluffs is Lunatic. It remains the case that you are strictly shorting them of the usual amount of information. Also, if you're concerned about letting new players know that bluffing Lunatic is an option, you can also just point that out to them in natural language without shortchanging a new player on game-state information. Rules-as-written, the only mechanical benefit an official Lunatic Bluff could ever give a Demon would have to come in to play with a Bootlegger Rule or an Amnesiac that interacts with the official Demon Bluffs.