The assurances of iodine deficiency and iodine oversupply are overstated and could be dangerous. Thyroid gland production is not the only thing going on in Grave's and Hashimoto's.

The Hypothalamus and Pituitary provide the enzymes which the thyroid gland uses to regulate its hormone release. Shortage and oversupply of thyroid control hormones can leave the thyroid desperately searching for iodine which it does not need and cannot use. Iodine is toxic in excess concentration. If you supplement and achieve a toxic concentration, a thyroid with improper control hormones can harm itself from iodine shortage in spite of the excess iodine concentration.

You're playing with fire. Go see a doctor.

Supplementing with metals can also be problematic.