midwest1

It's kind of like asking whether someone who is leaning toward hypothyroidism should avoid all raw cabbage-family vegetables. There's no clear cut, one-size-fits-all answer except this one: If it makes your symptoms worse, yes. Avoid it. If it seems to make no difference... There's your answer.

Your doctor is theoretically right. Beyond that, neither he nor you can arrive at a definite answer unless you push the iodine boundaries.