Was Our John Talking About Our Paul?

I was reading The Playboy Interviews with John Lennon and Yoko Ono.  It is my opinion that the Double Fantasy album was the work of Yoko Ono and our John, not the pinched nose John that made his debut in late 1966.

The interviewer David Sheff is talking to John about his and Paul's childhood:

LENNON:  Whereas Paul had lost his mother but he never lost his father.
PLAYBOY:  Yes, he lost his mother very young.  At about three.
LENNON:  Yeah . . .

It's possible that John misspoke or misremembered when Paul lost his mother.  Remember, the real Paul lost his mother when he was thirteen.  On the other hand, both the interviewer Sheff and our John might be accurately remembering when OUR Paul lost his mother.  This could be another bit of information to piece together the true identity of OUR Paul.