Well seeing ketogenic diets are basically a very long "fast" (Well Ketosis mimics "fasting", so if you do a true IF and don't have any aminos, fats, carbs at all during the fast window it's the same). So I wouldn't see the over all systematic differences of either with regards to energy allocation etc. This is providing you already do one or the other. Just because adding both stressors at once would be bad on the whole stress/cortisol thing.
Let us know if you go through with it! Good luck!