I think it best to use the phrase each side MOST prefers. That is pro-life (though an arguable phrase) for those who oppose abortion and pro-choice for those who believe abortion is the woman's decision. Those who oppose abortion believe that is "pro-life" and those who believe it a woman's choice prefer "pro-choice."
I am absolutely "pro-choice" and absolutely not "pro-abortion." EVERYONE knows what Pro-life and Pro-choice means and neither side is insulted by those. "Pro-abortion" is both a lie and insult.
Nor do all Pro-lifers want abortion outlawed. Rather, they believe it is immoral but not a matter for government criminal laws. Outside of activists, I suspect much of the general public who are abstractly "pro-life" don't want women going to jail for it. In short, it really isn't just an issue of legalisms, but also morality. A person can be "anti-homosexuality," but that doesn't mean they want it made criminally illegal.