What, exactly, are you trying to show with those links?
The first link has nothing to do whatsoever with protein sparing. In fact, the first study explicitly states what I've already said - that you skip fast glyc on keto. Read: "and muscle glycogen utilization (P < 0.05) were lower during exercise after Fat-adapt"..."Fat-adapt also resulted in higher rates of whole body fat oxidation, reduced muscle glycogenolysis"
The first link shows increased muscle triglyceride stores which inhibit muscle triglyceride lipolysis, which is the burning of muscle and skeletal fat that leads to the catabolization of muscle for energy.
The second link is all about endurance on a low intensity scale, which is governed predominately by how well an athlete can oxidize fat. See: "I can now rely on much more fat, rather than glycogen, during prolonged exertion. This frees me up from needing to be constantly eating on long swims and bike rides." It makes no mention whatsoever about mid-high intensity activity, which categorically utilizes stored carbohydrate for fuel and WILL suffer without it.
Cycling, Swimming, and Running are 3 of the most caloric intensive activities.
http://www.statisticbrain.com/calories-burned-during-exercise/
And he did very well in the standings.
The third link isn't even on a ketogenic diet. The authors may certainly use this term, but it is false. It's a low carb, moderate protein, moderate fat diet.
Go ahead and look at table 3; you'll see that the gymnasts were consuming 200g+/-18g of protein per day, and that it was 41%+/-6% of their daily calories, and most importantly they were allowed to eat ad libitum and were not in a caloric deficit. No kidding they aren't losing performance - they're just getting sugar from gluconeogenesis due to all that protein. This is the reason why an excess of protein actually keeps a person out of keto; they'll just utilize it for blood sugar, as in the case of these gymnasts. Study is highly flawed...if they wanted any kind of meaningful data, they would have regulated macros and caloric intake, ensured that the gymnasts were actually in keto and fully fat adapted, and above all else, they would have tested muscle glycogen stores before testing procedures.
Yes the third study is all about keto. Read Methods in the outline.
Diet and Measurements are also important in the study
Dude, I know you drink the keto kool-aid and that's fine, but it isn't a panacea and you really shouldn't make claims based off of studies you haven't reviewed. Those links are not implying what you think they are.