That's why I think that vendor web sites are not very good sources of information. I have combed the scientific literature for the source of this belief, and have found nothing.
Majority rules can help, but that approach can also perpetuate myths.
I have a little more time now, so a little better exposition.
[rant on]
Although I rely a lot on the personal experience of others, I expect that I can find an experimental basis for many of the statements made in this hobby. When Martin Moe states in his books that calcareous gravels can't raise the pH above 7.9 in a tank, he cites data. Terry Bartelme cites a list of papers in his recent articles about cryptocaryon treatment in Advanced Aquarist. And so on.
So, if iodine is so important in molting, why is there no trace of it in the scientific literature? I am a biologist, I know how to do searches, and have access to all the relevant databases. Bliss and Mantel's "Biology of Crustacea" has several chapters dealing with the hormonal control of the molt (see vol 9), but iodine does not even appear in the index. Not a whisper in the mariculture databases. It only shows up among hobbyists. When I ask where the information comes from, no one seems to be able to track it down.
[rant off]
If this is a myth, is there any harm? Probably not. It seems like a waste of money and another thing to mess with. Plus, there are rumors (I have tried really, really hard to track down the source) that too much iodine can induce precocious molts and harm your crustaceans. A lot of people don't add anything if they don't test for it, and I'm one of them.