That's interesting, too -- I don't have eczema problems with my kids but know plenty of people who do with theirs. Good to pass along.
You should check out the Iodine forum -- part of what is interesting to me about Iodine is its relationship to its relatives in the halogen family, which are chlorine, bromine, and fluorine. I think getting to sufficent levels of Iodine helps get and keep those others out. I always give my daughters iodine before we go to the pool....