Women having access has 0 to do with "keeping abusers happy." That's not a thing, Drophat. There are no lawmakers thinking, "gosh, I'd love to ban all abortions, but what if some abusive husband wants his wife to get an abortion but she can't? He might kill her. We'll keep it legal."
That's not happening.
Because if he's willing to kill her because she can't get an abortion, he'll just kill her. Thus solving the abortion problem.
That's why what you said doesn't make any sense.