It's all being discussed now..apparently the argument been put across about him being stable enough he could wait longer but been told thats not true..
What would be the point in waiting longer? The argument is about Archie's best interests. How could it be in his best interests to drag this out any longer?
As to the 'beating heart' argument, surely what matters to Christians is the soul. And Archie's soul departed long ago. (Soul or consciousness or personality or spirit or whatever term you want to use for whatever it was that made him 'Archie', a unique human being.)