High intensity exercise is generally anaerobic yes, not a third type of exercise.
I was really querying your point about high intensity exercise using lactic acid as an energy source. My understanding is that during any exercise, the muscles will first use creatine phosphate as an energy source and will then use blood glucose and stored glycogen for energy, and it is the breakdown of glucose that creates the energy - lactic acid is a by product of this reaction and is not a source of energy so I don't think this would cause blood sugar levels to increase?
Any increase in blood sugar levels following short duration exercise would be due to the body reacting to the fall in glucose levels and so releasing more from the liver to compensate.