That video is about abortion. Before birth. So no, they're not trying.

In the video they are discussing the prospect of aborting the pregnancy as the child is being born.

This is a great example because it strengthens the original one I was making; that despite pearl-clutching about what something "could allow", the actual bad thing that they're concerned about never happens. It's just a distraction tactic.

Plenty of states, like Alaska and Oregon, already allow abortion right up to the moment of birth. They don't happen, ever, zero times, except in cases where somebody is going to die otherwise.

The handwringing over "omg they're killing children" actually just kills both children and mothers by making lifesaving procedures illegal. People don't carry unwanted babies to term unless forced to do so.

Thus making it illegal to abort a full-term baby does nothing but score political points, at the expense of the deaths of some mothers who desperately wanted a child and then had some complications.