Actually, I think they were pretty even, but Lennon's songs have always hit me a bit more.
Because most of John's songs are so personal, they, many times, see relevant to me. I mean, John couldn't hide himself. Even in the early days when he was "making them up", he couldn't help but reveal himself. Most of those songs are about jealousy(You Can't Do That), insecurity (If I Fell), anger(Run For Your Life), and escape (There's A Place).
Later on, it would be understood that he was singing about himself, but early on, even though he wasn't consciously singing about himself, he reveals himself all too clearly.