Haha, yes (of course) we should. That will unleash a lot of reactions I'm sure!
From Wiki:
The Wolff–Chaikoff effect can be used as a treatment principle against hyperthyroidism (especially thyroid storm) by infusion of a large amount of Iodine to suppress the thyroid gland.
Well, ofcourse Iodine will help when you are hyperthyroid (as it does when you're hypothyroid), only their reasoning is off. It's because the hyperthyroid state = Iodine deficiency. NOT because high iodine shuts down the thyroid (because it doesn't or does only do so temporarily)