Perhaps I can shed a little light on the situation. I think your comment (understandably) conflates two different issues: Pro-life and Anti-Choice.
Do you recall the young gentleman at the start of the Oliver clip? “Life starts when you can hear a heartbeat. That’s it. But that view shouldn’t be forced on other people.”
That man is Pro-life – and god bless him. He’s thought about, and he has well-reasoned argument that goes back to the Hippocratic oath of Ancient Greece. But is NOT anti-choice. He accepts others may have a different viewpoint.
However, these abusive TRAP laws aren’t Pro-life, as they do almost nothing to further the dignity of life. These laws are Anti-Choice. As you note, these laws are about harassing women, especially poor woman, who are disproportionately women of color.
The Anti-Choice stance is broadly unpopular, so those who want to pursue this anti-woman politics  have to sell their policies as “Pro-Life.”.
The Pro-life argument applies to a helluva more than just abortion – just ask Pope Frances. It typically includes opposition to capital punishment, for example. It can easily be extended to paying for pre-K as a national obligation. The Pro-life argument is and should be a vital part of our national dialogue.
Unfortunately, the defenders of patriarchy have chosen abortion rights as one of their key issues, So they hide behind the sincere rhetoric of “Pro-life” Americans, of whom there are many, while trying to use the power of the state to force their views on women.
Hence the poverty of our discussion about this difficult issue.
 and who seem to be disproportionately middle-age white men from states with a history of legally sanctioned racism
p.s. A little bit about me. I grew up in one of these states. I am old enough to remember Roe v Wade. Planned Parenthood has had a profound affect on my family. This is not a just semantics to me: I am fiercely Pro-Choice.