No. Having enough energy in your body speeds recovery, which eating helps with, but storing vs burning fat is almost purely down to calories in vs calories out. You can end up storing less fat by using energy to recover (intentional) damage to your muscles, or by just spending it (increase calories out) but that equation is still all that decides which way the valve flows.
That makes sense, burning is what makes a difference. I was just under the impression that some glucose is put in your muscles for ready use, to push your "cliff" further out, rather than being stored in the same cells that would take them if you were to be sedentary.
Glucose is stored as glycogen in the liver/muscles and is used during intense exercise afaik. So you might be right