The article does have references. It's way down, a blue text link you click on to access them. I didn't read them. Nor would I take nutritional advice from that author who thinks whole grains are not inflammatory and that raised insulin doesn't cause fat storage and then goes on to state "maybe" " maybe not" on his own questions.
I don't know how it affects thyroid, but As
@zand points out, the author frequently quotes low carbing in association with low calorie.... this is imo a bit sneaky, maybe even deceitful or possibly he doesn't understand what low carbing really is. He seems to not understand the role of insulin in weight gain and loss. It's not the low carbing that causes issues, it's the lack of food imo which translates to a lack of nutrients... deprive yourself of essential nutrients such as amino acids, fatty acids, minerals and vitamins and you expose yourself to deficiencies and health issues.
The problem isn't that low carb diets have got it all wrong as the author states, the problem is with the misinterpretation (Whether deliberate or simply misunderstood) by dieticians and health industry people who are still pushing the you must eat carbs and whole grains are healthy dogma, because that's what they have been taught. Eat less, move more.
I think a diet deficient in the essentials would have far greater impact on health in general, then a diet low in carbohydrate. Or our ancestors would of died out long ago and we wouldn't be having this conversation.
Just my 2c worth.