Ironically such a diet in itself is deeply unnatural - hunter-gatherers would have starved if they attempted such a thing - there is a reason why they were nomadic and caused mass extinctions - they ate everything and depleted capacity to fuel their large brain and relatively big bodies. There is a reason cooking caught on and was used long before agriculture.
The point being that both natrual and unnatural are terrible heuristics. Your diet may be fundamentally good or deeply flawed but naturalness isn't why - nutrient balance, satiation, metabolic factors and similiar are why.