This is exactly correct.
And also the root of the problem, and why overturning RvW doesn't amount to a hill of beans where the *real* issue is concerned. The fact that SCOTUS turned the issue back to the states, is basically a modern day Missouri Compromise. It's a cop-out. Passing the buck, nothing more. They did not grant personhood under the 14th Amendment, and until that is done the slaughter will continue.
You see, when they look at an "unborn" child, they don't see a human being there (in very much the same way Jefferson Davis didn't see a human being when he looked at a black man). And because they don't see a human being, why in the world would they imagine that they have any civil rights at all?
The fact that we *do* see a human being there, confuses, frustrates, and infuriates them. They cannot wrap their heads around the concept. To them, granting civil rights to the unborn makes about as much rational sense as granting it to blacks did to Jefferson Davis and his political contemporaries.
It's extraordinarily difficult to argue with that level of denial. At some point, you have to forget about trying to convince people who cannot and will not be convinced, and just do the right thing. And if we end up fighting another civil war over it, then so be it.