That's true but at least we have a bit more to go on there (if not specifically about Lucy in the Sky) - I can't dig up the original reference but it's a famous enough story to paste from a random google search result:
John told Derek Taylor that when he and Paul dropped acid together they “just stared into each other’s eyes saying ‘I know, man’ and laughing”
https://en.wikipedia.org/wiki/Lucy_in_the_Sky_with_Diamonds
you can't help wondering though...