This is plausibly the reason why antioxidants enhance sleep. Though it is likely that there are other mechanisms as well, such as reduced neuroinflammation. Come to think of it, given that ME/CFS appears to be caused by high sympathetic tone during sleep, antioxidants are the perfect treatment. Antioxidants are proven in placebo-controlled trials to help with sleep in healthy subjects and insomniacs alike. I doubt that antioxidants can cure ME/CFS, but I'm confident they will help.