I eat Low Carb as a lifestyle (not a diet as such). I wasn't overweight when diagnosed as Type 2 Diabetic, so I decided not to consciously restrict calories - just restrict Carbs.
In order to do this I eat more fats and Oils than before:
Eggs, hard cheese, full fat yogurt, double cream, avocado, tree nuts, fatty fish and fatty cuts of meat.
I still lost some weight because I was Thin Outside, Fat Inside. But my focus was always on the Blood Glucose levels - not on my weight and according to the looser definitions of Type 2 remission I have achieved it.