I think the difference between CBT and GET is in what the therapists say to patients.
The CBT therapists were specifically trained to 'help' patients overcome their 'false illness beliefs' that were making them afraid to exercise - thus encouraging them to believe that it was OK to exercise, and to start doing so, but not to any fixed plan.
Whereas the GET therapists were trained not to challenge beliefs, but to help patients set weekly targets of increasing activity, eg by walking for a bit longer.
The net result is the same, patients were encouraged in both groups to exercise more. Whether they did or not, is of course another question - which can't be answered since actometers weren't used.
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On the subject of deconditioning, I am another example showing it's nonsense. I had 6 months mostly in bed 40 years ago with what was probably glandular fever. I wasn't improving, and someone told me to try 3 weeks complete bed rest. I must have been very deconditioned by then, but after that extra 3 weeks complete rest, I recovered, and within weeks was going on long hikes and fully fit.
27 years ago, when my ME started after a stomach bug when I was probably the fittest I'd ever been, I immediately had problems with standing for more than a few minutes. My weakness, muscle pain and PEM had nothing to do with deconditioning. I pushed through, kept working etc. All the wrong ways to treat ME, and gradually deteriorated, so I'm now housebound and mostly bed bound.