What happens when a hospital is unable to provide treatment?
A hospital should absolutely not provide air lift to a patient who wishes to receive a treatment that is against their best medical judgement, this is a terrible use of emergency resources. Those helicopters are not some cheap and unlimited resource. At some pragmatism has to trump your naive concept of absolute rights.
Did you notice how the hospital warned they would seek consent from
family services if the woman appeared before them with a trial of labor? That's because they deemed the delivery a risk to the baby who could not provide consent. Your argument is that they were wrong, because you estimate your own medical judgement to be superior to a hospital's. Or, you think that the mother taking any unnecessary risk to the child is okay so long as it's not 100% certain that they'll die.
Otherwise, the patient
may have some right to refuse treatment even in a life threatening emergency, but this too has legal limits. What the patient would never have had the right to do is to force the hospital to provide an alternative treatment they don't stand behind or force the hospital to use its own limited resources to ensure the patient has this kind of access. What you are asking for is ridiculously overly accommodating.
And in all of this you think that this idea is hypocritical from someone who supports a woman's right to abortion in the early process of pregnancy because you refuse to differentiate between an early term and full term fetus (or an embryo for that matter)