Any condition that can be improved with a placebo, has a possible psychological component that can either be a cause or a contributing factor. This is not to say that it is all in your head, or that all people with it have it due to psychological reasons. But some of the people have at least some of their symptoms worsened by psychological factors.
Anyone who finds this controversial has psychological issues with reality. And this is true whether your condition is CFS or high blood pressure+heart disease.
Now people don't want to believe that acupuncture is a placebo, but there is ample evidence that it is. Therefore this applies to every condition that people find that acupuncture can help for. And that is a lot.