There is a new logic that has been growing in the pro-choice crowd. Here is my most charitable interpretation of this new logic:
Even if a fetus after the heart beats may be considered a living human, that does not mean a woman should be obligated to give her body to the living entity to use for the duration of the pregnancy.
I take their logic as meaning that a woman's bodily autonomy trumps the right of the fetus to live. In this line of reasoning, the living human fetus is regarded as a (living) parasite. I think there are a lot of problems with this line of reasoning, but it seems to be an emerging talking point among the pro-choice crowd.
I haven't heard this (yet), but if they are running this argument it is terrible for them. The moment they admit that a fetus is a living human, or might be a living human, I don't see how they win the debate. Every pro-choice person I've come across, or every pro-choice argument I've heard, goes out of their way to claim that the fetus is
not human, therefore it is not entitled to any rights, therefore the woman can do with it as she wishes. I have heard the abortion procedure itself likened to an appendectomy by pro-choicers. I disagree, but if you don't consider the fetus to be human (yet), then the logic is internally consistent.
If your argument claims or even just entertains the possibility that it
is human, or it might be entitled to some kind of rights, then you really can't help but fall on the pro-life side.