Fatty acids into glucose

I have a question regarding the synthesis of glucose from fatty acids. In my book as well as in other posts on stackexchange, it states that fatty acids CANNOT be turned into glucose for the following reason:
Fatty acids are converted into acetyl-CoA, which cannot be reverted into pyruvate because humans do not have the enzyme, but some plants do. Therefore, fatty acids cannot be turned into glucose.
Glycerol however can be converted into glucose by gluconeogenesis.

However, fatty acids can be turned into acetone by ketogenesis and acetones CAN be converted into pyruvate and therefore also into glucose. So doesn’t that mean that fatty acids can be turned into glucose?
Fatty acid -> acetyl-CoA -> acetone -> pyruvate -> glucose.

Ketogenesis happens during a carbohydrate deficiency (or diabetes mellitus). The brain is able to use ketones for energy, but preferably uses glucose, so I’d assume some ketones are converted to glucose as well?