So, for abortion to be a eugenics project, they should be arranged by some central governing body - a "board of eugenics" or "baby optimization committee" if you will - and not simply done by the choice of each pregnant person. Maybe you could argue that a high-level propaganda campaign could have the same effect, but that's beyond the realm of the legislative or judicial branches of government, and possibly beyond government entirely.
I think the biggest implication of any type of abortion being outlawed is that it subjects all pregnant people to the potential violence of the state on behalf of anyone close enough to know about their pregnancy. Add to this the massive grey areas introduced by the base rate of miscarriage, drugs that can be used for multiple things including abortion, what defines a threat to the life of the mother, and you've got a recipe for endless justifications for violations of privacy, bodily autonomy, and completely arbitrary prosecutions of uterus-havers.