Simple carbs are probably more problematic for diabetics that saturated fat, but if you are trying to keep your weight down you know you have to limit treats. Keeping a healthy balance is the key.
I have Type I diabetes and of course, take insulin. It's the carb count that I have to do mainly for insulin purposes and to control my blood sugar. I take a tad of insulin to cover my fats and proteins, but the carbs are the main thing. Although, I try to limit my saturated fats. I have discussed nutrition with my endocrinologist and a nutritionist multiple times, and they have stressed that moderation is the key. Of course, healthy fats are better.