My son is much calmer when he has a fever, more "normal," but he also shuts down some of the best parts of himself, like his creativity. I don't think he'd want to always to be in that thought state. While he finds it hard to control his jumping brain, he also loves it for the creativity it brings him.
Now, I don't have a child who will sit down and do homework or anything else productive while mildly sick, so the potential benefit I'm reading really isn't there for him as it might be for others.
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Mom to an amazing young adult AS son, plus an also amazing non-AS daughter. Most likely part of the "Broader Autism Phenotype" (some traits).