That is funny.
I believe that the iodine used for medicine has a very short half life, and will be completely gone within a few weeks.
Very often, the level of fear and hysteria over radiation is far more damaging to health than an actual radiation exposure. We are exposed to radiation of all kinds all the time, and we do just fine with it.
I had to get a bone scan, which involved injecting me with several millicuries of a radioactive substance. I was given a card to carry for a couple of days, just in case I set off a radiation detector somewhere. Other than that, there were no special measures.
I have a cat with thyroid disease, but we manage it with pills.
A few years ago, because my GP didnt like what he saw on my EKG during my annual physical, I was sent for a nuclear stress test. Fortunately I passed with flying colors but I was given no instructions or special measures to follow after the test that I can recall. The same with a nuclear thyroid test I had several years before. I certainly was not told to isolate myself from humans, small children or pets for the next 48 hours or told that I couldnt use the toilet and rather had to bag up my pee and poo in a plastic bag. LOL! The instructions I was given for my cat was ridiculous and way over precautious as the gal from the Radiocat facility pretty much told me.
I have a cat with thyroid disease, but we manage it with pills.
We tried that with my sweet Zelda but she had a very bad reaction to the pills. After only a week of giving them to her, she broke out in sores and scabs all over her face and ears, her ears turned bright red and where hot to the touch and she lost most of her fur on her face and all the fur on her ears and she stopped eating. Not to mention the difficulty of giving her pills every day. The radioiodine therapy wasnt exactly cheap, but then neither were the pills; but it did work and from the research I did and the advice from my vet it was IMO well worth it and a much better alternative to surgery. And she lived a very happy and healthy life and brought me much joy and love for another 10 years. The $1,200 spent worked out to be about $10 a month.