No, this is why there is a fight to not having R v W overturned.
Self-induction isn’t the only way an abortion can be unsafe. Health care professionals lacking the skills, hygienic settings, or instruments to perform an abortion can cause uterine perforations and infections.
In El Salvador, a 1998 law went into effect that made abortion illegal with no exceptions—including rape, life of the mother, or incest. Women who are found guilty of having an abortion face two to eight years in prison. Punishment is widespread as well. Anyone found guilty of assisting in the abortion also faces two to eight years in prisons. Doctors and nurses who assist and perform abortions face six to twelve years behind bars.
With harsh consequences for obtaining an abortion, women in El Salvador and other countries often turn to clandestine—and sometimes dangerous—methods. The drug misoprostol, often referred to as just “miso” and used for treating ulcers has become a popular abortion drug. But without access to dosage information and no supervision, using miso can lead to complications or even death.
Privacy equals abortion because it is a balancing of the equities. It’s a complicated and those who view life as beginning at conception view it a soul less. That argument however isn’t based in constitutional law but in emotion and faith.
Again though, it is a horrible comparison.
I am also not asserting banning abortion will not stop them.
I also do not think if one bans murder or theft it will stop.
Maybe i am not understanding your argument, and/or I have not been clear with mine.