Alcoholism is an addiction to alcohol. The only cure is permanent abstinence. The I love you but am not in love, blah, blah may or may not true or just the addiction speaking. But definitely believe him when he says he doesn't love himself. Most alcoholics don't. If we did we wouldn't be alcoholic. It has nothing to do with how wonderful your home is or isn't.
Your daughter is so young and already notices daddy's alcoholism? I would get her in therapy