as someone who studies psychology, I am clearly qualified to clear up this little misunderstanding lol 😛
Being abused correlates positively to being abusive, but only in the VAST minority of cases. The fact that those who have never been abused can become abusive also shows there is more to the story than simple parental attachments.
In fact, most influences of the parent on the child's behaviour evaporate once the child forms their own peer in-group.
I'd almost be willing to argue that negative attachment or rejection at this peer group level is more damaging to a child than rejection at the parental level PROVIDED peer acceptance comes later. Its not my area of specialty, but I could certainly wing it.