Quite different in every respect, actually. In this case, the powers that be want to save her life.
It’s not their decision to make. Giving the state power to decide life or death is the wrong move.
It’s the patient’s decision. If the patient declines treatment that would otherwise save their life, then it is the duty of the doctor to respect this decision. The same as when the patient needs treatment, that the state does not deny them from it.
If the state is powerful enough to give you life, then it is powerful enough to take it away.