Probably a new wave of hypothyroidism is among diabetics who do low-carbing to combat diabetes. Dr. Bernstein, who promotes doing no more than 40g of carbs per day, claims that fully 80% of his patients are hypothyroid and nearly all of them have one or more autoimmune diseases (since hypothyroidism is mostly autoimmune, that would be Hashimoto's; the other autoimmune condition is psoriasis). He's made several claims of this during his telecasts: hypothyroidism among his patients is an "epidemic", his exact words.
However, he doesn't seem to make a connection between his low-carb diabetes treatment method and hypothyroidism. In other words, are patients showing up at Dr. B's door from pre-existing hypothyroidism? Or do they become hypothyroid because of his low-carb (and frequently ketogenic) method. I suspect the latter.
I had hypothyroid symptoms that did not show up in lab tests (TSH <1, Free T4=1.2, Free T3=3.0) when I started low-carbing. They gradually got worse and my body temp was frequently under <96 and my fingers were ice cold. After I added ~200g of carbs from safe starches, my temp went up to ~97.5. I'm still trying to make that go up to 98. My pulse however is still low: around 70. (But I didn't realize this was a hypothryoid symptom.)
As for blood sugar control, I recently tested 5.3 HbA1c, the lowest ever. My range before was 5.4 - 5.8 while doing 75g of carbs, which made me automatically ketogenic. Safe starches and exercising can definitely control your BG, while eating a moderate amount of carbs. Not every diabetic can do this but you have to understand that BG control is counterintuitive: eating safe starches makes you more insulin-sensitive. Those who were diagnosed relatively early can in many cases control their BG better with moderate-carb Paleo than with the ketogenic low carbing that Dr. Bernstein preaches.
Edit: I believe not only did VLCing promote symptomatic hypothyroidism in my case but also caused another autoimmune disease: Sjogren's. The timing is all very strange. 3 months after I started VLCing and lost 60 lbs. I was hit with an autoimmune marker. 3 months later when I wast still VLCing, I was hit with vicious dry eye and dry throat cases, all typical of Sjogren's. It could be a coincidence, but I have to agree with Matt Stone here. VLCing did a tremendous good and I lost my weight and gained BG control; however, 3-6 months down the road, I was hit with all kinds of hormonal, thyroid, and autoimmune complications that I'm still contending with.