Is there even a space for the "Rec Deck" to fit in a Constitution class? I don't think it would fit where the blueprints show the bowling alley because the "Rec Deck" is at least two decks tall. The Constitution class is surprisingly small; I was a TNG guy and the Galaxy class ships are comically gigantic.

Would be a question I would pose to a Youtuber by the name of We Travel By Night, who has tackled things like "The turbolift shafts on the exterior model don't change from movie to movie, but the turbolift doors gradually move apart as they update the set." or "the ship's neck is so narrow that there's no room for the turbolift and the engine plumbing to pass by each other, so how does that even work?"