And why not? ... if it inspired a song!
For those who hadn't read their Anthology Book ... this is what some of them said about the song and its origin:
RINGO: 'Lucy In The Sky With Diamonds' and all the madness that went on around it was absolutely bonkers.
I was actually with John when Julian came in with this little kid's painting, a crazy little painting, and John (as the dad) said, 'Oh, what's that?' and Julian said, 'It's Lucy in the sky with diamonds.' And then John got busy.
PAUL: I showed up at John's house and he had a drawing Julian had done at school with the title 'Lucy in the Sky with Diamonds' above it. Then we went up to his music room and wrote the song, swapping psychedelic suggestions as we went. I remember coming up with 'cellophane flowers' and 'newspaper taxis' and John answered with things like 'kaleidoscope eyes' and 'looking glass ties'. We never noticed the LSD initial until it was pointed out later - by which point people didn't believe us.
JOHN: I saw Mel Torme introducing a Lennon-McCartney show, saying how 'Lucy In The Sky With Diamonds' was about LSD. It never was, and nobody believes me. I swear to God, or swear to Mao, or to anybody you like, I had no idea it spelt LSD. This is the truth: my son came home with a drawing and showed me this strange-looking woman flying around. I said, 'What is it?' and he said, 'It's Lucy in the sky with diamonds,' and I thought, 'That's beautiful.' I immediately wrote a song about it. And the song had gone out, the whole album had been published, and somebody noticed that the letters spelt out LSD. I had no idea, and of course after that I was checking all the songs to see what the letters spelt out. They didn't spell out anything, none of the others. It wasn't about that at all.71
The images were from Alice in Wonderland. It was Alice in the boat. She is buying an egg and it turns into Humpty-Dumpty. The woman serving in the shop turns into a sheep, and the next minute they're rowing in a rowing boat somewhere - and I was visualising that. There was also the image of the female who would someday come save me - 'a girl with kaleidoscope eyes' who would come out of the sky. It's not an acid song.80
GEORGE: I liked 'Lucy In The Sky With Diamonds' a lot. John always had a way of having an edge to his songs. I particularly liked the sounds on it where I managed to superimpose some Indian instruments onto the Western music. There were specific things that I had written, like 'Within You Without You', to try to feature the Indian instruments; but under normal circumstances that wouldn't work on a Western song like 'Lucy', which has chord changes and modulations (whereas tambouras and sitars stay in the same key forever). I liked the way the drone of the tamboura could be fitted in there.
from here:
http://wingspan.ru/bookseng/ant/10.html