“They were making preparations to harvest the organs according to the article. I don’t know exactly what the doctors were doing or at which point they give next of kin the boot.”
Why assume the doctors were doing anything? Perhaps they had discussed organ donation and were taking care of paperwork etc. and while they were discussing this the hand squeeze etc happened?
The impression you give is of a bunch of blood thirsty doctors, scalpels in hand, saliva drooling out of their mouth, just waiting for a chance to start yanking out those organs.