This is part of the reason why I've completely changed my mind on this issue from 3 years ago. The narrative has completely changed. I used to think along the lines of the three points above. I disliked abortion, as it is a disgusting procedure, but I saw it as sometimes necessary for the good of our society.
Most people who were "pro-choice," I thought, were thinking the same way I was. I slowly came to realize that I was wrong; pro-choice folks were not so much pro-choice as they were pro-abortion, and the justifications got thinner by the day. Their motives became clear through their lies: pushing for later and later abortions means that they never thought that an abortion is a regrettable thing worthy of mourning over. They don't care about science, and they don't care about human life (including the lives of the mothers). They simply care that their degenerate agenda gets shoved further and further down our throats, until it hits water.