Placebo effect has never been shown to CURE any organic disease or traumatic injury. It has been shown to have a rather weakly correlation and a statistically insignificant effect, on a wide range of conditions, with a statistically significant effect only on pain and similar subjective phenomena (Hróbjartsson A, Gøtzsche PC (2001). "Is the placebo powerless? An analysis of clinical trials comparing placebo with no treatment". New England Journal of Medicine 344 (21): 1594–1602). This study was confirmed by a Cochraine review (Hróbjartsson A, Gøtzsche PC (2004). "Placebo interventions for all clinical conditions". Cochrane Database Syst Rev (3): CD003974).
Quaint belief in the "placebo effect" lives on in medicine and the public mind much that way Zoologists continue to classify the Giant Panda as a raccoon rather than a bear. Why? Because we'd like it to be so, but it ain't ... and the data doesn't support it.
To write my observations off as possible "placebo effect" does great violence to what is actually know about placebos, though I'd be happy to grant that "fatigue," taken by itself, may be one of the subjective continua that may well, like pain, be sensitive to placebo as Hróbjartsson found.