If you have a solar panels, a battery, and generator, it would be good idea to figure out how to hook them all together. Using the generator near its full output, to charge the battery, will use far less fuel than idling it all day.
Even if things are bad enough for iodine pills, they are only really needed for children. Once you hit your mid teens, your thyroid is fully developed and not pulling in enough iodine to worry about radioactive isotopes.
I presume that radiation is why the Ukrainian brought it up.
The article did mention using it for treating water, but it's not very good at that, and it tastes awful. Reverse osmosis works much, much better and it doesn't need to be a large permanently installed system; portable gravity-fed versions readily available.
Even if things are bad enough for iodine pills, they are only really needed for children. Once you hit your mid teens, your thyroid is fully developed and not pulling in enough iodine to worry about radioactive isotopes.