I don't think it's quite like that though. The task is in fact being achieved and there is a willingness to do it again, it's just that incredibly rapid reduction in the ability of it to be achieved again. I get that too, I'm not sure if I'd say it's necessarily a part of PEM, it depends on how you define PEM. I get to a stage when I know that no effort on my part is going to get something coherent written or get something read and understood, and I should go and lie down.If I were to scrape around for suggestions I think I would wonder if it is a signal that says 'no not again it is just too awful'. Like when you are trying to teach a child to ride a bike, which is essentially a mental control activity, and after a few failed attempts they say 'no daddy I don't want to'. The sense of failure washes over even a partial success and it is best left for another sunny day.
The mental fatigue issue in stroke and in ME/CFS may not be very different to normal mental fatigue - I mean air traffic controllers aren't expected to work for long stretches of time, because they can't keep a high level of performance indefinitely. What is different is how quickly the fatigue sets in and the low level of cognitive demand. With my relative after a stroke, it was after writing three simple sentences. If I'm in full-on PEM, reading and movie watching are too demanding.
So, what causes mental fatigue, and could that process be ramped up in ME/CFS (and stroke, and I think it's the same in other brain injury conditions)? Could a similar mechanism cause physical fatigue? Could it be a problem with neurons being able to re-fire in both cases? Could a relative scarcity of ATP during exertion (perhaps as a result of the body being in a 'pathogen defence-mode') result in neurons not being able to re-fire until a longer time than usual has passed?