The trivial part is that the body will burn whatever macronutrients you feed it, in the proportions you feed it. If your diet is 20% protein, 20% carbohydrate, and 60% fat, you'll burn 20% protein, 20% carbohydrate, and 60% fat. If your diet is 20% protein, 60% carbohydrate, and 20% fat, you'll burn 20% protein, 60% carbohydrate, and 20% fat. This follows from the first law of thermodynamics and the fact that your body has only one long-term reservoir of energy storage: adipose tissue.
The false part is that a high-fat diet is good for endurance athletes. It isn't. Jogging isn't an endurance sport. I'm not an expert in exercise physiology, but, as I understand it, endurance sports rely highly on anaerobic metabolism, and hence need glycogen. And a high-carbohydrate diet maximizes glycogen storage.
You should have stuck with " I'm not an expert in exercise physiology" and not posted..
I'm not sure what you mean by burn but I assume you mean contribute to the energy requirements of exercise?
And here's the first mistake. Protein is only used under extreme circumstances as part of the aerobic cycle. Protein is used as a source of amino acids for rebuilding and creating new body tissue plus a pile of other things. It's too valuable and too difficult to use as part of the aerobic system for anything apart from desperate measures.
Furthermore just because your diet contains 20% fat and 60% carbs does not mean you burn/consume them. Any not required will be stored for later use. (Or non-use in the case of most Australians and Americans.)
Glycogen also counts as a long term energy storage method, not just adipose tissue.
Jogging is an endurance sport if you do it for long enough. It is low intensity and uses the aerobic cycle. As such it is primarily using glycogens from carbohydrates and triglycerides from fats to replenish the ATP system. It would only use protein if glycogen and fats reserves have depleted. I happen to do Rogaines which involve a 24 hour fast walk / jog and can cover well over 100km cross country up and down mountains in those fit enough. They are extreme endurance events and are more difficult than marathons and I've done both.
You are back-to-front about endurance sports, they rely on aerobic metabolism. It is only at sub-maximal intensity (less than 85% maximum heart rate) that a human body can supply enough oxygen to allow for aerobic metabolism. If you go harder than this you move into the anaerobic region and the ATP resynthesis will come from the ATP-CP system and the anaerobic glycolysis system. These two systems can only supply new ATP for about 10 seconds a a few minutes respectively. Hence are not suitable for endurance.
You are correct about glycogen as it comes from glucose and hence carbohydrates. Glycogen storage can be maxed out with carbo loading in the 24 hours before an endurance event (it's not pleasant) however those triglycerides are going to useful as well.
References for all this can be found in high school textbooks used in physical education.