You're creating a false dichotomy. The Mississippi law at issue in Dobbs had an exception for severe fetal abnormalities after the first trimester. So do the abortion laws of every developed country that otherwise bans abortion at 12-14 weeks. Support for such exceptions in the US is vastly higher than for elective later-term abortions.

You're incorrectly assuming that in substance there is no difference because all late-term abortions are the result of medical emergencies or genetic defects. In Germany, which bans abortion after 12 weeks but contains exceptions for fetal and maternal health, only 3% of abortions are performed after 12 weeks:https://www.bmj.com/company/newsroom/nine-out-of-10-abortion.... In the US that number is more than twice as high, at 7%.

Given the 600,000 abortions in the US each year, getting our number down to the German rate would affect 24,000 abortions of fetuses that most developed countries have deemed to be worth protecting.