That is a very rambling post. I don't see what there is to get confused about with the word fixation BTW.
The problem boils down to this ( I feel we need some lucidity here): you say the Lancet paper needs a control. I KNOW it doesn't. That is not double standards.
What reason would there be for a control?
Just because you don't understand something doesn't mean that explanation isn't valid. I did try to explain which you describe rather bizarrely as changing the subject.