No, the point is that those who are pro-choice (or pro-abortion, if you prefer) don’t think that there is “another” whom is being refused life. Rather, a fetus is a collection of tissues that has not yet attained “person-hood”.
There are two kinds of anti-choice folks, I’ve found. Those who sincerely don’t know the horror of having their very life put in jeopardy because of a fetus, and those who don’t care.
See how easy it is to show your opponent in a negative light? I bet that a lot of people whom you consider “pro-abortion” would be some of the first to decry third-trimester, non-emergency abortions as being immoral (or, at the very least, not a Good Thing).
My own stance on the issue is that, before brain activity is expressed, the fetus is not a person, and therefore has no right to life (no more than an individual sperm or egg has a right to life). After the brain activity begins, I consider the fetus to be a pseudo-person; It’s life should not be arbitrarily ended, but if the fetus is putting the life of the mother in danger, the life of the mother takes precedence.