i dont think it does. if the thyroid doesnt work you have to take the hormones. that has nothing to do with whether the rest of the body has Iodine or not.
the bottom line is they dont want people fixing their own problems. its money out of their pockets, though i doubt they will run out of hypothyroidites any time soon. its a mass epidemic, due to Iodine deficiency and environmental toxins like mercury, perchlorate and bad halogens.