As far as I know Medium Chain Triglycerides can be readily used for energy, but other dietary fats are stored before they're oxidized (correct me if I'm wrong). So for the most part you are oxidizing stored fat all the time, but your dietary intake is replacing it (at a net loss if dieting).
The fact that your insulin is generally low, slightly decreases fat storage and retention rates, when compared to a diet with carbs present. Appetite is also blunted by essentially eliminating blood sugar fluctuations (for the most part).
I wouldn't say that the ketogenic diet is perfectly advantageous. If I had a magical way of restoring glycogen, optimizing leptin and thyroid hormones, and keeping good mental acuity all while being in ketosis, then yeah.
Just keep in mind that the "speed" of a diet, should not be it's primary selling point. That being said. I was on a PSMF diet last week, I'm on my 2 week diet break right now and I am pleased to be having starches again.