Also, mental health is intrinsically linked to the stress system. Mental stress causes depression.
https://link.springer.com/article/10.1007/s00213-016-4218-9
If you talk to patients who have severe CFS and depression, you'll see that it isn't comorbid depression. Instead it is a fundamental symptom related to PEM. (See for example, Whitney Dafoe's description of his attacks). I had the same experience. The depression is not psychological (caused by thinking about the illness). Rather it is PEM, and comes on suddenly after exertion. That is not "comorbid".
Take for example African sleeping sickness. After initial infection the patients have a number of mood and behavior changes, excessive sleepiness, confusion, etc. that might appear mental. But it would be absurd to classify it as a mental illness. It sounds very similar to the logic people are applying to ME/CFS in trying to label it mental.
And I never said it was "primarily mental". I think it is primarily stress, which can cause mental symptoms (but not always).