I'm also pro-choice, but this argument isn't very convincing to me. We don't apply the same logic to murder, theft or even drugs, so why apply it to abortion?
For drugs there actually is a strong argument for applying the same logic to legalise and regulate them, as it may well reduce harm.
Not to mention the medical issues that pop up where it should be explicitly legal, like with young teenage girls or rape victims.
Illegality never stops everything, it’s just some subset of embodied ideals.