My main idea is that we will probably never be able to take control of this. First, we do not know if this is true.
Second, we do not know how much iodine, if any, is needed to make this happen.
Third, we do not know how long the effect of the iodine persists.
With warfarin being a generic and replacements for it being developed, it is extremely unlikely that we will ever know the answers. Therefore, it is useless to try to quantify it. Instead of people obsessing over what made the change, it is best just to accept that there are unknown forces that we cannot control. We can exert influence over the things that we can control, but it is probably useless to expend a great deal of time worrying about what caused an INR to get out of line.