I understand that some organelles of the body are able to adapt and produce at a higher threshold(for instance, mitochondria)
I do not know what is exactly at work here, but by completely abstaining from carbs would my body adapt and become more efficient at breaking down glycerol for intensity work?
Well, yeah. To an extent. Even with adaptation, though, it'd simply be too slow of an energy source for activity that needs energy fast (high intensity stuff).
You'd probably feel drained easily when doing those activities and even in general afterward. Very low carb diets for sedentary people that already have a lot of metabolic disorder can work really well, but for young athletes not so much. Especially power/strength based athletes.
It can come down to a practical thing, too. If you're a smaller guy and want to make strength improvements and weight gain, without significant carbs it'll take a huge caloric surplus from protein and fat alone, the energy portion being mainly from fat. To eat enough food to get there might be a little hard, since that limits a lot of available foods you might have. You could possibly have to abstain from too many foods that would have otherwise been a good call for weight gain. Carbs tend to help with overeating, which is why avoiding a lot of them for people dieting can be good, but for weight gain on a skinny guy they can work wonders.
In fact, without overdoing it crazily, a small caloric surplus in general tends to do wonders for smaller guys doing lots of activity just in the sense of how they feel / fighting overreaching (though this would include more catbs, typically staying out of ketosis).
Anywho, while yes your glycogen independent systems can adapt to a degree, it doesn't mean you'd be able to perform nearly as well as with more dietary carb.