[3] is very much not correct. Your brain can just fine on ketones.
Your body is also capable of making it's own glucose, for the organs that need it: https://chem.libretexts.org/Bookshelves/Biological_Chemistry....
Your body is also capable of making it's own glucose, for the organs that need it: https://chem.libretexts.org/Bookshelves/Biological_Chemistry....
And tbh, I would be more inclined to believe the peer reviewed article on glucose metabolism in the brain by an established neuroscientist tbh.
So keto is very much the primary system, breaking down carbs is actually a “holy crap look at all this energy in our bloodstream, let’s secrete insulin and shove it all into lipid cells so that it can later be used BY KETO, OUR PRIMARY ENERGY SYSTEM”.