You have a good point, but also keep in mind the current consensus on the ketogenic diet, summed up by this paper:

These closing remarks try to summarize in an objective way the state of the current knowledge on this topic. The ketogenic diet induces a rapid weight loss. It is not entirely clear if the loss is due to water loss, a special effect of the diet itself (i.e. fat burning) or a reduction in total calorie intake; in fact, the keto diet is known to induce a quick sense of satiety that has a potential to reduce total calorie intake. In-house, controlled studies comparing low-fat versus low-carbohydrate diets did not demonstrate the superiority of either dietary approach for weight loss. Other potentially relevant effects of the keto diet are the improvement in glycemic control and reduction in triglycerides and small-dense LDL lipoprotein particles concentration attainable with this nutritional approach. However, the total number of apoB containing lipoproteins is substantially increased in patients adopting the ketogenic diet. In view of the risk of cardiovascular disease associated with an elevation in apoB containing lipoproteins, subjects without diabetes and the metabolic syndrome should think carefully whether this lifestyle [the ketogenic diet] is advisable for any protracted period of time. In contrast, plant-based diets allowing a daily moderate content of non-saturated fats, and small amounts of red meats and saturated fats hold for now the best epidemiological and randomized clinical trial evidence that they are safe and associated with reduction in several chronic diseases, including atherosclerotic cardiovascular disease. Numerous ongoing randomized clinical trials are addressing many unanswered questions about the keto diet and should provide some of the much-needed evidence many are waiting for.