Some, but not all, people on the pro-choice side of the aisle argue that a pregnant woman's bodily autonomy swamps all other considerations. Regardless of what we happen to think about the moral status of a fetus, it's her body so it's her decision. (Or so the argument goes anyway).
If you take that argument seriously, you can't possibly support a vaccine mandate. Your body, your choice. If you think it's relevant to the discussion that a person's vaccination decision affects some other third party, then you have to grant pro-lifers that argument as well. In other words, if it's okay to violate my bodily autonomy to protect the health of the guy who rings me up at the grocery store, then it's also okay to violate a pregnant woman's bodily autonomy to protect the health of her unborn child. If your answer to that is that the unborn child doesn't have any rights worth protecting, then you're making a personhood argument, not a bodily autonomy argument.
This isn't about "If your position on abortion is X, then your position on vaccines must be Y." It's that one particular argument against abortion bans also carries equal force against vaccine mandates. If you're going to trot out that argument, you should apply it consistently.