Both sides advocate for the removal of choice, it's just which choices they feel are legitimate.
The left is more likely to remove the choice of gun ownership, the choice of who you can do business with, what size soda you can buy, or what you can say as a religious leader.
The right is more likely to remove the choice of whether you can kill your fetus or baby (depending on your viewpoint)
Whether abortion should be legal really comes down to a belief. When does a person become a person?
If you believe a person becomes a person when they exit their mother's womb, then you should have no problem with the term pro-abortion. If that's your belief, then you shouldn't even care if there are fewer abortions. It's just a medical procedure extracting unwanted cells from a woman's body.
If, however, you believe a person becomes a person before that, then under no circumstances, other than the certainty of making a choice between the mother's or the baby's life, should someone be allowed to kill the baby at that point.
I've heard people point to many tests to determine person-hood: viability, heartbeat, sensing pain, the ability to survive on it's own (which may not really happen well into childhood). It's really a question of when does a child obtain rights.
Personally, I find it unscientific and arbitrary to say a person becomes a person because they changed location.