According to the National Institutes of Health’s Office of Dietary Supplements, tests have shown that the population in the United States is “iodine sufficient.” Most Americans who eat a varied diet get enough iodine even if they don’t use iodized salt. They are at little risk of iodine deficiency*
https://www.nytimes.com/2017/07/21/well/eat/should-we-be-buy...
I think the “varied diet” usually means Americans get enough through non-home use iodized salt (like processed/restaurant foods). As the article says, seafood (plant or not) and dairy are good iodine sources, if you consume them.
It links Americans being iodine sufficient to getting varied diet but that’s not a conclusion made by the source from what I can see.
The article also says bread is a good source of iodine when the source says it’s a very poor source of iodine.
So I think the article is making stuff up, linking a source but hoping no one will actually read it, and probably written by someone trying to get iodine supplements removed.
Normally I’d expect to see this kind of writing from some blog but not the NYT.