Well your obviously more knowledgeable than I am as my reading on the subject taught me that ketones were converted to glucose via the process of the liver breaking down fat into Acetate and is then transported round the body by a transporter called coenzyme A, or "CoA" for short from which it is converted into glucose via the KREBS cycle or tricarboxylic acid cycle to give it its correct name.
But what do I know? I dont even follow a lchf diet so Im sure your correct, fat is not converted to glucose via the krebs cycle at all I probably dreamed it all.
Quick edit: The conversion of ketones into glucose via the krebs cycle is a very long process and less efficient than using carbs to convert to glucose which is our bodies preferential way to produce glucose.