IMO, you get plenty of Iodine through feeding (esp marine algaes), and there is no need to add more from a bottle. If you do, you should be testing it. Randy Holmes Farley has an excellent article on reef water parameters (and several other articles). The addition of Iodine is certainly hotly debated...
Here is a quote from Randy Holmes Farley
I do not presently dose iodine to my aquarium, and do not recommend that others necessarily do so either. Iodine dosing is much more complicated than dosing other ions due to its substantial number of different naturally existing forms, the number of different forms that aquarists actually dose, the fact that all of these forms can interconvert in reef aquaria, and the fact that the available test kits detect only a subset of the total forms present. This complexity, coupled with the fact that no commonly kept reef aquarium species are known to require significant iodine, suggests that dosing is unnecessary and problematic.
For these reasons, I advise aquarists to NOT try to maintain a specific iodine concentration using supplementation and test kits.
There is little doubt about some animals (and esp marine algae) need for it, what is unknown is what level they need and whether they absorb it directly from the water. But certainly a lot gets in the tank simply via food.