I recognize that this is flawed thinking, but it is a curriosity none the less. On one hand this seems relavant but on the other it does not. Here goes...
A few years ago I had Iodine Poisioning. It is what people get from eating shellfish and/or are alergic to shellfish. I pigged out of shrimp and oysters for a week during a trip to Palm Beach Gardens. Just for the fact that they can accumulate that much iodine tells me that there is more than miniscule amounts in ocean water.
Bottom dwellers have a higher accumulation of iodine than regular fish because regular fish sink to the bottom when they die (usually and eventually). Guess who eats the dead fish...the bottom dwellers. Now the bottom get their saturation of iodine from the ocean like the other fish, but when they eat the fish they accumulate their iodine too. Iodine btw takes a while for the body to expell. I ate at least four pounds of shrimp in three days. The other four days involved seafood too. Oysters are filter feeders and have a very high concentraion too. My doctor didn't focus on the sewage in the ocean, or any of the nasties that the Navy dumps overboard, or any of the other trace minerals. She focused on the iodine. It is measureable, but I do not know to what extent.