I've a feeling this is NOT the analogy that will work for you, but it works so well for me, so I'll share it anyways:

One of the things my friends who "get it" (attachment stuff) remind me of is that even the best most loving and devoted parent sometimes needs a break from his/her child - it doesn't mean he doesn't love her, that he forgets her, or that she's too much - it means that he cares so much that he recognizes that he has to take care of himself in order to have anything of value to give to you - someone he cares about.