A woman who will die in childbirth can absolutely die in a late term abortion.
As for you asking if I am a doctor? Well, a very good friend of mine is my ob/gyn and we've talked about this a lot. He told me that there is NO reason to kill a baby to save the life of the mother in late pregnancy. The woman who owns the horse that I ride had her son at 26 weeks and 1 lb. 5oz. He is now going to be 2 at the end of the month and other than being slightly delayed for his age, he's doing great! A late term abortion is very drastic and is not a matter of simply giving a woman a pill. A doctor has to give her some medication to cause her cervix to dialate, then he will go into the uterus (which does not happen in most births), find the leg, wherever that may be (usually later in pregnancy, it is at the top of the uterus), pull it down towards the cervix and out then pulling the baby just about fully out of the uterus before the skull is punctured and the brains are sucked out.
Now, let's change that up a bit. The woman WANTS the baby but for whatever reason, the baby must be born in order to save the life of the mother. A few different things can happen - the mother is induced to labor and give birth, or a c-section is performed. There would be reasons to do one over the other, depending on what the issue is with the mother, but either one will most likely produce a child that is alive and a mother who has now given birth and can be cared for in whatever way she needs.
I can guarantee you one thing - no woman has heard "You need to kill your baby in order to live" after 25 weeks. "You need to give birth right now and your baby has a small chance of surviving but we'll do all we can to save him." might be heard in late pregnancy. That is what my girlfriend heard when the baby's heartrate dropped to 6 while she was in the hospital at 26 weeks. They rushed her into the OR telling her that it's now or never. They HAD to deliver the baby in order to save both of them. They never said "You need to kill your baby right now so you can live." It just doesn't happen. Earlier in pregnancy? Yes. But not when late term abortions are performed.