Post 32 week abortions are debate within a debate because people aren't really talking about the same thing, much more than other parts of the abortion debates. Many on the pro-forced-birth side would have you believe that this is a common occurrence. The pro-choice side would say that abortion is a difficult decision in and of itself and if someone is choosing abortion after 32 weeks, it must be an exceptional case, and we should respect the parent-doctor relationship to make that decision.
Being in a situation where I'm at the 32 week mark with my wife, I can't imagine many people choose to knowingly wait this long, and then just have an abortion for "funsies". Pew Research suggests it is less than 1% after 21 weeks (https://www.pewresearch.org/fact-tank/2022/06/24/what-the-da...).
But I also think it's helpful to cede some ground to the moderate pro-lifers. If we can acknowledge that 32 week fetuses are empathetically "infants in a difficult locale", to me it's clear that there is some legal burden there. I don't think the opinion of one woman and that of any one doctor she can find willing to agree with her are sufficient grounds for killing a fetus at that stage. Not all people make good choices, and thinking things deserve protection from bad choices.
I'll also add that the criminalization of late-term abortions rests heavily on
1. Guaranteed access to early-term abortions regardless of circumstances
2. Mid-term abortions under specific circumstances.
3. Affirmative defense for late-term abortion given even narrower circumstances, i.e. bodily risk to mother.
With those guarantees, and only with those guarantees, I think the argument can be made that a mother with a late-term pregnancy has willingly undertaken the responsibility to carry that pregnancy to term, and therefor aborting that late-term pregnancy may be treated similarly to a parent harming an infant. But I'll reiterate: only with those guarnatees. And, of course, lots of places don't have those guarnatees right now, which is why this is a "debate within a debate", as you say. And this is the smaller and less impactful of the debates.