It’s easy to bring a baby to a facility and say “I can’t do this.” There is no punishment for doing so.
It’s much more difficult to leave a fetus at a facility and say “I can’t do this.”
It is also very difficult to get a 3rd trimester abortion unless there are some major health risks involved. During the 1st trimester (when 95% of abortions are performed) the fetus is physically incapable of feeling pain.