On a keto diet, the primary fuel will be fat rather than glucose (in general, one would hope!). So theoretically the benefit of fat over glucose is it is a denser form of energy. i.e. it gives more ATP, as such more energy g for g than glucose. Also we have to add the oxygen part of this balance. Since fat is more energy efficient, it will also be more oxygen efficient, since more energy is produced per unit of oxygen.
That all seems pretty simple fat pwns! But... it's unfortunately complicated by the issue of availability, ie having the nutrients available in the right state to be used. In a high carb diet, glycogen is stored in the muscles as we all know, and provides fuel and it's delivery very quickly during intensive exercise. A keto diet quickly depletes glycogen stores. As such once your body has adapted to that sort of diet, your body is likely to have little to no muscular glycogen available to use as fuel.
However, as a result, you'll have significantly more intramuscular triglycerides to replace it. And these are readily available as fuel.
People who train regularly or in an advanced state of training, or basically atheletes in general *should* be able to metabolise (or technically oxidise) those fat stores better than people who don't train. So over time and before after diet changes you'd get different results, but it also depends on the person's level of fitness.
When oxygen can't be delivered to the cells in your muscles quickly enough to cope with demand (ie after you've been sprinting for a while) obviously it's differen person to person, an anaerobic reaction takes over where fuel burns without oxygen. If that fuel happens to be glucose, your cells will use lactic acid to extract energy from the fuel without benefiting from oxygen. As such you get that famous buildup of lactic acid in your muscles. This build up is a major contributor to fatigue and that familiar burning especially when doing HIIT.
So what happens when your body is using fat as energy instead of glucose? And when you run out of oxygen? You die! Lol! No I don't know there doesn't seem to a conclusive answers that I can work out.

some creatine pathway is used but it's beyond me. Obviously people training on low carbs don't keel over from a form of muscle failure. That much I know. There is an anaerobic alternative to metabolising fatty acids but I don't know enough about it to explain. Also I'm on my phone without the ability to look it up.
With regards to high intensity exercise it seems thar the research is scarce and also seemingly flawed or conflicting on the factor of anaerobic lipid metabolism
I've said this before, but carbs are still relatively new to human diets as being a major macro.
Before mass agriculture, most humans probably pent most of their lives in ketosis. Typically eating meals where they had to hunt and as such undoubtedly involved loads of sprinting. It would make sense then, that we are rather adept at running while in ketosis.
I'm not going to say that even after a period of adaptation carb fueled runners aren't worse than non carb runners. However people shouldn't worry so much. However chopping and changing diets will not help your body adapt.
I'm on my phone at a car boot sale so probably cocked some things up! By not reading the replies properly apologies.