Many thousands of scientists disagree with you on this, though.
Pain is a warning system but a bit of a primitive one. It's job is to warn you are are in danger, so in this case you move your hand. It's more important to move the hand and avoid harm than it is to figure out that it's a fake hand being hurt. In the moment, the brain fully believes it is your hand being hurt and that action is needed.
Fatigue is also used by the brain to protect you. It can be used to remove you from an environment to keep you safe in all sorts of circumstances. We understand this pretty comprehensively these days but one example is thanks to studying runners in marathons. 'The brain uses the symptoms of fatigue as key regulators to insure that the exercise is completed before harm develops.' The brain predicts when harm might arise (for example you are running out of fuel) and makes you tired to get you to stop. See here:
10.3389/fphys.2012.00082 (Noakes TD. Fatigue is a Brain-Derived Emotion that Regulates the Exercise Behavior to Ensure the Protection of Whole Body Homeostasis. Front Physiol. 2012 or Lekander's book). The fatigue kicks in before your fuel actually runs out or another harm occurs. It is protective.
Ergo, beliefs can cause the symptom of fatigue in M.E if part of your brain feels under threat. It is a belief that is unknown to you, but it still exists within your brain which is trying to juggle all sorts of sensory input.