Keto diet could benefit the patient though reduction of the glycemic index, reduction of carbohydrate and increase of protein intake. Rather than change the source of energy to fat. Check out this systematic review evaluating the different diets in diabetic control:
where they found that Low-carbohydrate, low-GI, Mediterranean, and high-protein diets are effective in improving various markers of cardiovascular risk in people with diabetes and should be considered in the overall strategy of diabetes management.
There is no one size fit answer to questions like this, and I say this because studies is definitely showing that there are short-term benefits of ketogenetic diets in obese diabetics. And I say short-term because most studies are usually not long effect to evaluate acidosis on subjects, another concern is the source of fat and its long-term impact. I would definitely propose that if doing a keto diet would help you reduced your refined carbs consumption and increase healthy fat and protein, then go for it.
There are no enough findings to support this hypothesis ,but in my point of view, I think it is not a good idea to change diet habit completely from carbohydrate to fat,especially among T2DM patients who are taking insulin. As we know that insulin dose is usually set based on the amount of carbohydrate that patient taken in pre-prandial meal.