The following video makes some good points about the logistics of getting one of these exceptions OK'ed. Apparently, it's not the doctor that decides when the life of the mother is at risk, at least not with legal impunity, as they were afraid to act.
Also, who says, "Yes, this was rape (or incest)" and grants the right to the procedure? Who do we suppose the states like Georgia that criminalize abortion (and now even a D and C) would empanel to make such judgments?
At 1:50, (the video runs 15 min 41 sec) Lawrence O'Donnell begins discussing the case of a girl who became pregnant at age 12 - apparently an actual case of a 12-year old raped by her stepfather that predated these new antiabortion laws, but in this context, it is a hypothetical 12-year old post-Dobbs in a state like Georgia - and why those legal exceptions in writing might not be enough to translate to action when action is needed:
The point is that these Christian theocrats are probably not really interested in any exception or the life of the mother. Individuals might vary, but collectively, when decisions are made, one shouldn't expect many if any compassionate exceptions. Notice that we haven't heard any expression of concern or regret coming from the right regarding the needless death in Georgia. Nobody in charge in these states with severe abortion restrictions seems to care that these laws are killing people. We haven't heard anything about reforming them from the people who created them and their allies.
In my opinion, O'Donnell is one of the better political commentators on mainstream media. He did another show on the story in the OP I believe the day before the video above outlining how George W. Bush and Trump filled the Court with theocrats, and now that they "got what they wanted," we see the fallout (19 min 12 sec):