Good! Potential is the argument that a lot of right to lifers use to argue against abortion. They argue in favor of who and what the embryo has the potential to be ("It is a person"). It is an Authoriative stance. I am playing devil's advocate here

Dax's case is a related right to life issue, only this time it involves an adult who wants to "abort" his own life. The person to be aborted is thinking, feeling, mentally competant, and uses his intellect deciding for himself to end his life. Yet he is denied this by Authority figures (his mother, doctors, the hospital staff on all levels). They argued (by the virtue that he was a thinking, intelligent human), that he had Potential. He could continue to live, with their intervention.
Dax, it can be said, actually makes the case for Authority (vs. Autocracy, the opposing argument) by the example of his life after he recovered. But Dax champions for Autocracy (self control of one's life) by becoming a successful lawyer, continuing to fight for patient's right to die (which is now legal in America...just not euthanasia) and by his own admission is living a very happy and successful life.
So it comes down to a basic Authority vs. Autocracy philosophical argument.