Natural eating requires some definition in my view. Take for example someone in their 20's, it would be normal to eat highly processed beige food 3 times a day, with 2 to 3 snacks, whereas a great grand parent would have eaten maximally 3 times a day, home cooked items, such as meat and 2 veg, dripping and the like. When I was on honey moon in the Maldives natural eating was dead easy, as food was fresh caught and cooked for dinner - it is about either what the society presents, availability and then personal selection.
I have had 3 years of non-diabetic numbers. If I am fortunate enough to live another 40 years with similar blood work this would be a "virtual cure" - strong words, but unless someone removes my brain and reprograms it, I WILL NEVER go high carb ever again, the beige and sweet stuff doesn't temp me and is the devil incarnate as far as I am concerned. I will not be testing any mid - high carb or sweet items as I have checked what they do to blood sugar, insulin and nutrient levels - NO THANKS. Rowing back a little, as I like effect, cure is strong word but If diabetes in a robber and you lock the doors, it can't get in.
My view deviates at a point from just low carb high fat, as I weight train, so I use saturated fat in for cooking and what comes with the protein. LCHF / Keto does work in my view, it gets you fat adapted and satiated. I have upped my protein content with real food (which carries some additional fat as a by-product e.g. steak, salmon).
I would point you in the direction of this site - excluding the following items (whey, artichoke, parsnips)
http://www.burnfatnotsugar.com
http://www.burnfatnotsugar.com/Diet20.html