Well, in this case (yeah, I know) I actually think the misogyny angle holds some weight. Anti-abortion stances are really old and the "don't punish the woman" line appears to also be very old. It was probably easy to believe that the women were always victims of being tricked or pressured into getting the abortions. That and they don't want to hurt women because they "went through enough" by losing the child - not understanding at all that the women generally wouldn't have seen it that way in the first place.
Another strange argument is that the pro-life movement was always heralded for women, making it pro-women and apparently that's supposed to mean that women shouldn't be punished. Like so:
http://www.nydailynews.com/opinion/charles-camosy-real-pro-lifers-don-punish-women-article-1.2583258
Of course anyone who is really pro-woman wouldn't want them to get infantilizing special treatment. That article also tries to argue that abortion is a product of male privilege, which is just... yeah.