Ovaries are organs that produce Thyroid Hormone when the system senses that the Thyroid isnt doing the job. To the degree the Ovary works at it, it often develops growths. Very common and often fixed by correcting our bodies needs for Thyroid hormone, by adding Iodine (all three types) or if the Thyroid is too damaged or the problem is in the TSH production, replacing the hormones w "proper" supplementation of such.
A kidney cyst is another growth all together that might be removed by Iodine's affect on the cellular system also, but it must be used/tried to know.(and if it doesn't have effect then understanding the consituant type of cyst should further explain the situation. A cyst like A's that does not respond to Iodine treatment(assuming he used all three forms) would likely be too encapsulated and thus also not in danger of becoming a growth due to that. If the cyst is still in a regular blood flow, unless dealt with it may continue to grow and become a larger problem, tho still removable w/out surgery if the metabolism is boosted and corrected.
(It is well documented by even regular Science that fasting or diet limiting boosts our metabolism (all our systems). To the degree our system is compromised by congestion or damage from modern living or modern diets low nutrition and or chemical, heavy metal, polluted life intake, the fasting experience may likewise be difficult or seemingly unproductive due to the nature of the systems injured functioning and actual needs for recovery.)
And while we are on it as I mentioned in a previous thread on KMJ's question on fasting and autolyses. My biggest cyst (one inch approx.,very noticable) which I had had for ten years went away on a 15 day fast using mainly wheatgrass and fruit juices(mixed like a tonic ah), but not a lot particularly. So the autolysing is real. Tho my cyst was a sebaceous cyst. Cyst being too general of a term. And the cyst that KMJ is working with is very different than mine tho the same term is used.