Why ever not? As Cutsie pointed out above, do you think a person squeamish about needles would not 'enable' someone to give them an injection or draw their blood when they deem it medically necessary?
Squeamish people are able to 'enable' a lot of very gory things, so long as they do not have to look at it. Just as a woman who is pro-choice may not want to have the images of aborted or miscarried fetuses jammed down her throat simply because she thinks women should have the right to choose... You don't know whether she would have an abortion or not, or whether she agrees or disagrees with the procedure on a personal level. She might very well be the type of person who would never have an abortion, but she thinks that women should have the right to choose. She might also think that a 12 week old fetus is not "alive" as she is alive, because of the simple fact that at 12 weeks, the fetus is not viable in any way, shape or form.. ie. it would not survive outside of the woman's womb, does not mean that she would abort every single pregnancy she happened to have or whether she agrees with it. Pro-choice is not about telling women to abort their pregnancies because the fetus is not alive. Pro-choice is about women having the right to choose for their own bodies and themselves. And frankly, you have no right to try to drive the point home by showing them images of aborted fetuses in an attempt to tell them they are ideologically wrong.
I am pro-choice and I also believe that a 12 week old fetus is not "alive", for the simple reason I stated above. Does that mean I would have an abortion for an unwanted pregnancy? No. I honestly don't think I could ever do it. But that does not give me the right to impose my own personal beliefs or stance on the matter upon other women. While abortion is not right for me, does not mean it is not something that might be important or essential for another woman and it should be up to her to decide for herself, without being pressured from either side of the fence. And frankly, I find it downright insulting to have pictures of abortions being used as a tool to protest against abortion. It is highly hypocritical for pro-lifers, who value human life as being sacred and important, to then use the images of what they consider a destroyed or murdered life to further their political and personal beliefs.
So yes Sam, some people are squeamish and do not wish to see graphic photos of abortions, regardless of where they stand on the matter.