I don't know all the scientific knowledge behind it, but I do agree Brian.
There was a world of difference between my mom's parents' diabetes. I truly believe that my grandfather was LADA--he was on multiple shots (beef, pork, and finally human insulin) and had to check his blood and urine for ketones, sometimes in the middle of the night. He was on a strict low-carb diet (no breads/pasta/potatoes/rice), and he couldn't eat any sugar free foods--they always made him ill. Constant battle between hyper/hypo blood glucose levels.
My grandmother was the complete opposite as a Type 2--she was on pills for a very long time before she was prescribed shots and then she was on very low dosage and minimum shots. She could eat anything within moderation, and could have sugar free foods.
My mom is a hybrid between the two--she can't tolerate sugar free foods, but she can have some carbs, but she's on Lantus and Novolog. She couldn't take pills.
So far, I'm struggling with diet and exercise to control BG, but I think I'm heading in my grandfather's footsteps--absolutely no carbs or sugar free foods. And I'm constantly yo-yo-ing between hypos and hyper BGs.