I hope people aren't judging the parents too harshly. They are not being rational, and in time I think they will live with a lot of regret about the length of their battle with those who advised them to allow Alfie to die on his own timing, which is likely to be swiftly. However, they are tortured, too, and some relatives find that place to be one in which they can't think clearly and need time and come to terms with their situation.
The more they are forced down this line that nobody chooses, the less they are in control, the more they will strive to regain control. It isn't what we'd want, it isn't what Alfie needs, but it is what the parents need right now. As for the staff at the hospital, shame on them if any refuse to work with him. I say that as a (now non-clinical) ITU nurse. We don't pick and choose desirable patients and relatives. Everyone gets the same high level of care, and if relatives are needing skilled communication, we make sure we not only provide it, but we make a clear, contemporaneous, accurate record of our communication in the notes for further reference.
This is not an 'interesting/fascinating case' for them. This is their reality. Alfie is their boy. He was meant to grow up, to grow old, to watch them grow old and die.
I reckon if the Dad had accepted the verdict, the hand wringing would have been 'ooh, not enough fight. Not like Charlie Gard, are they? Just letting him go. Do you not think they care.....?' I think they were never going to win.