It's a bit dangerous to use phrases like cure for type 2. It's a metabolic disease and you have broken your metabolism. Be kinder to it and you can manage so I prefer to say that you can have well managed diabetes. Anyone who thinks they can go back to eating badly is likely to be disappointed.
I was just reading about type 3 diabetes and I think it's where damage has occurred to the pancreas. An operation or inflammation. I wish I had paid more attention now.