Eleanor, I'm glad to meet a fellow bulldog :)I'm just going to keep worrying the thing until it is good and dead
I love the way you analyze the issue, and I think the points you come up with, explain why I am not convinced, after all that happened and did not happen, that my parents actually hated me. I think hate also requires/demands laser-like focus, and though it is normal for children to perceive their parents as focused on them (children being naturally narcissistic), it is usually not the case.
So, can I try an alternative explanation:
That parents, due to, [a whole variety of reason, including a sense of entitlement] use their children as a receptacle for their own negative emotions, of which hate may be one.
(As a mother, I know that in my really SHIT moments towards my daughter (which does not include anything abusive) I feel frustrated by my own shortcomings, and do not experience any hatred or dislike towards her. )
This is just one possibility, and it may be off the mark. So, worry on ... :)