Won't work. They'll just keep coming back. Now that they know about the asylum system loophole, they can keep coming.
The first reform would be to adequately staff asylum courts so that cases can be resolved quickly as to whether or not someone faces retribution if they return home. The reason you wingnuts don't want to do that is under our current law, a lot of people would be granted residency.
You see, what you want is a "consensus" of medical professionals, as in "more than one". Which means she has to take the time to find multiple doctors to agree that her fetus that lacks a brain should be removed before it is born. (Or they could just let it be born and give it a MAGA hat.)
That sounds like a lot of trouble for a woman who is already going through a hard time.