Furthermore, if he's channeling all his people skills into Bruce, then his complete hopelessness in that arena as Batman would actually make sense.
No, I don't buy that. He can't succeed as Batman without using some people skills. With Dick and Alfred and Hal and Superman. His inability to deal appropriately with, for example, Dick shows me he's absolutely clueless about people. He'd be a better crimefighter if he adopted some people skills. If they were in him, he'd use them. He could still go all crazy with the criminals.
Also, a lot of his actions and inner monologue, which has to be the real him, show a very immature, stunted man with an emotional age of nine or ten.