It'll start faster if you don't eat carbs / sugar and instead use protein because the body start producing ketons when it runs out of glycogen stores. Sugar and carbs add glucose to your blood. The less of it you have, the faster the body will start producing ketons.
Exercise also helps because it uses glucose faster. Of course assuming you'll not just start eating carbs / sugar after exercise. That includes all drinks that include sugar.
But really you'll get most benefit of exercise just from a walk after meal.
Why after meal? Because that's when glucose spikes and a walk uses glucose faster.
Again, believe what you want just make sure you understand that you’re not making a sound argument.
It's a sliding scale from no harm to performance benefits to death. Clearly they are intelligent and educated and those teams expend effort to stay to the left of death...
It is rare without ketone supplementation, because unless you're fasting, eating a ketogenic diet, or are diabetic, the body doesn't usually have a high concentration of circulating endogenous ketones.
Diabetics can become so insulin resistant that their cells no longer uptake glucose, so they must fall back to burning ketones for energy, even while blood sugar is very elevated and food intake is normal. This is why DKA is so dangerous and (relatively) common.
Nothing about ketoacidosis is limited to diabetics - its just not common in non-diabetics, because how would you get such high concentrations of ketones? ...
But contrary to fats (or proteins or fibers), sugar is also addictive, doesn’t satiate your body, and ultimately generates hypoglycemia some hours later for you to eat more sugar.
So yes, the dose makes the poison but sugar is the only one poison your body accepts to absorb in immense quantities.
There's a whole bunch of stuff happening in your body post strenuous exercise so it'd be hard to isolate ketones specifically from that.