It is a compromise between respecting the life of the mother and the life of the child.
See, that's the difference - I do not think a woman's rights should ever be compromised.
I trust women to only have late-term abortions for very good reasons. I don't think anyone else should get to decide what constitutes a good reason.
Yes, disabled children are a financial and emotional burden. So are healthy children.
If a woman who is poor and already has too many children can't have a late term abortion, but a woman who has enough money to raise another child, but whose fetus has severe disabilities (but could live), can - then that does imply that to the society that decides whether women are allowed abortions, healthy children are more valuable.
I would not have mentioned that there's an uncomfortable eugenics aspect in there if the topic hadn't already been on the table, and I would not do so in a discussion where that view hasn't already been uttered, because I am aware that might be twisted to argue in favour of removing that exception to the ban on late-term abortion.
But in principle, I just think women should not be forced to give birth. Ever.