IMO, it's not only about the owners, it goes all the way back to the breeders. There are some out there that breed for aggression. You can breed aggression into a dog by choosing aggressive parents.
And, you can breed it out. Someone here posted a link to the show that was on PBS, I think it was called "Decoding the Dog," or something like that. Part of the show discussed a Russian project where they tried to breed aggression out of wild foxes. They selectively bred the foxes that were the least afraid of humans, and by the third generation the foxes were friendly. They wagged their tails at humans and everything.
Three generations was all that it took. In the hands of the right breeders, the ABPT could be turned around, but as long as there of those out there that still want to breed for aggression, that won't happen.
I saw a couple of APBT pups at the dog park, the guys that had them there said that they were "Gottilines" and had all of the aggression bred out of them. They were probably about only 15 lbs, still pups, but they were very stocky and kind of slow and clumsy -- the other small dogs could run circles around them. I wondered what "Gottilines" adults looked like, and googled the term when I got home. To me they look like someone took the head of a Pitt Bull and put it on the body of an English Bulldog. Kind of strange looking:
.:GOTTYLINE PITS / 21 BLACKJACK:.
I hope the woman that was attacked makes a good recovery.