Archie is not a corpse. He is not legally nor physically dead. His brain is dead. Doing anything to his body is not legally nor physically desecration of a corpse. If it feels like it is due to his permanent loss of conscious, that is a valid personal feeling, but not relevant in determining the course of treatment unless it is your own loved one
Anti-abortion doctors are not forced to refer patients for abortions. But they must refer them back to other GPs. This prevents them from being forced to act against their morals, while not effecting access for patients.
This ought to be similar for any other case in which doctors may have ethical concerns that restrict access to care.
Undignified? Pointless? Upsetting? Maybe, these are subjective personal opinions and value judgements. Cruel? No, he is not capable of suffering.
It is not the place of doctors or nurses to centre their feelings and personal beliefs over that of the patient or family. It is so dangerous that this should be considered in court: that the personal ethical beliefs of staff should be a factor in whether to treat someone. Set aside Archie for a moment and bear in mind that our legal system works on using previous cases for authority. What if in a future case, they use the personal ethical beliefs of staff or their distress at having to do their job as a legal reason not to treat someone who debatably could benefit?