Lugols is a solution of both potassium iodide KI, and elemental iodine I2. I prefer this form for supplementation because it is easier to be very accurate with the amounts of both KI and I2 that I am dosing with. This is not true for other methods of iodine supplementation, such as kelp and other seaweeds, as the quality and quantity of iodine will vary greatly.
True, but the same can be said for the nutrients in food. I am not going to take separate supplements for all the nutrients I get in my food. I still prefer things as Nature made them for several reasons including synergy and even safety. Some compounds are toxic in their elemental form such as calcium, potassium, sodium, chromium, germanium..........