There is a difference in the amount of I2 needed by males and females as well. Women tend to need more I2 than men, so what may be excess for men, is not necessarily an excess for women.
There is also a difference in the form of iodine, and how the body utilises different forms.
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.