I like the whole idea of the MI games being a kind of escape room experience, because it would fit so well to the door in the back alley of Mêlée Island.
Guybrush needs a break from the "MI2 escape game" as the confrontation with LeChuck is becoming to stressful - so he is allowed to temporarily step out of the escape room (courtesy of Stan, who is watching?). In RtMI, he solves all puzzles and steps out "regularily", and is sad the escape game is over too soon.