Jean Genie

Yes, he did! What seems to be a myth, though, is the idea that John and Paul gifted the kittens to each other. I have found no source for that. But yes, Paul did actually mention in a 1999 interview that he once had two cats he named Pyramus and Thisbe:

Q: Tell us about some of the animals you’ve had over the years.  Paul: Oh, I’d love to tell you about the animals. I personally never had a pet growing up, because my mom and dad both worked. And even the day we saw free puppies going and my brother and I thought, “Definite, we’ll get one,” we couldn’t have one. So my first pet was when I was living alone as one of the Beatles and I got an Old English sheepdog called Martha, and I loved her dearly, she was beautiful, she was really good for me; we were good for each other. I remember John Lennon coming ’round and saying, “God, I’ve never seen you with an animal before.” I was being so affectionate it took him aback, he’d not seen that side of my character. Because you don’t do that with humans-not as obviously anyway. And then I had two cats called Pyramus and Thisbe, which showed my literate bent, and then I had three-they all had to be cool names, of course-that were called Jesus, Mary, and Joseph. And then as a family, Linda and I, after Martha died, we then got another Old English sheepdog and we eventually had a litter by the one after her. We kept two of the puppies, so that meant we’ve got three now. I have four dogs at home, three English sheepdogs and Stella’s dog, the mutt. She’d hate me to say that! 

Thisbe is also mentioned in Many Years From Now:

P & T WITHOUT THE WALL 🎭❤️🧱

A small zine in progress. Inspired by the Pyramus & Thisbe (A Midsummer Night's Dream) rehearsal from Around the Beatles. 🍊

It's a story about what might happen backstage if, for just a moment, there were no wall between Pyramus and Thisbe.

He claims that the tape was discovered in the studio by Yoko, who played it for the the group and it clearly sounded sexual. Yoko and Francie both thought they were initially hearing a recording of John and Paul having sex. John instead claimed it was “masturbation art” and Paul froze up and didn’t speak for the rest of the day. This was related to him by Francie.

Okay no wayyy thank you for sharing this with me!!

I waver as to the reliability of mclennongate guy. Another one of those like tenuous semi-beliefs of mine I guess. But if this is true!!

Yoko and Francie both immediately jumping to their boyfriends weird situationship ✔️

John claiming it's masturbation art✔️ ➖

I feel like John would loudmouth in some way but wouldn't his most likely response be to make a dismissive joke? Maybe he's being chivalrous and giving Paul a pass to not be sucked in to more gay allegations if he can avoid it?

Stuart was John's friend mainly from art college. Stuart was a very good painter. We were all slightly jealous of John's friendship [with him], John being a little bit older certainly than me, certainly than George. He was a little bit, you know, you wanted to sit next to him on a bus and stuff [because] he's the older fellow, you know, it's just the way it was. So when Stuart came in, it was [like] he was sort of taking a little bit of that position away from us. We sort of had to take a little bit of a back seat.