N=1 personal non-random uncontrolled experiment: 4+ years of drug-free diabetes control to below pre-diabetic levels via an LCHF diet, regularly measured with continuous glucose monitoring. I suspect that the success rate among self-selected followers is higher than among the randomly assigned.
Never looked back. Never went on any drugs, running is slower, but can last much longer. Don't really feel hungry - just eat to my activity level and snacks.
Eating is simple - if it has more than 2g of carbs per serving, then I don't eat it. Only supplements required are chlorides: sodium - that's easy, potassium - from NoSalt, and magnesium - an occasional capsule.
In OTC A1C tests, I reduced mine from 10.6 to 7.6 to 6.0 over the course of 6 months with keto. I wanted to get a continuous glucose monitor so that I could discover if any foods were unwittingly sabotaging my efforts, but I can't find any that I can buy without a formal diagnosis and prescription.
I haven't gone to a doctor yet b/c I don't have a primary care physician and, to be blunt, it's expensive, even with insurance!
I worked around it by just getting a prescription, which was easy and cheap, and comes with a consult from a live doctor.
There is a new Abbott sensor that looks really promising but there are no news about it so maybe it is vaporware.
I believe that the common denominator is nearly zero sugar.
Interestingly, as a pre-diabetic zero carber my blood sugar is excellent in as little as a week. Not meaning to make fun of your diet, just observing that what you ingest != what's in your blood stream, we are very complex chemical machines.
In this case a moderately high carb diet like yours results in low sugar, while a diet with <5g of carbs a day results in healthy sugar levels.
(The reason is insulin. Remove dietary carbs, you generate less insulin, so blood sugar flatlines, with gluconeogenesis to maintain the minimal levels to function, while the rest of the energy is provided by fatty acids)
For the first while I found that using coconut oil or olive oil was a trivial way of adding just pure fat to my daily numbers. Both of them are relatively cheap (though high cal) and can be added to any heated drink like coffee or tea with minimal impact on for flavor. Over time, this just became unnecessary, but it was helpful early on as it was trivial to prep a small container with n grams of oil every morning.
There are also nutrient bars that are explicitly higher on fat and protein and lower on carbs for this very purpose, e.g. 'good fats' bars.
Unlike what others report, while I felt generally good and had energy for day to day things, I simply could not ever work up enough energy for more rigorous cardio or weightlifting, compared to when I'm on a normal/carb-rich diet.