Blood sugar comes from 2 places, 1 from food as carbohydrates and 2 from the liver through gluconeogenesis/glycogenolysis. A low carb diet will certainly lower the blood sugar. What about the high morning blood sugar where the sugar comes primarily from the liver (through gluconeogenesis). To deplete this, one would have to lower the sugar (glycogen) in the skeletal muscle (most diabetics have a good supply of skeletal muscle). Since the skeletal muscle burns fuel at 4 rates (phosphagen, lactic acid, glycogen oxidation and fatty acid oxidation), where only 2 of these cycles involve burning sugar ie the lactic acid and glycogen oxidation- note that walking is primarily a fatty acid oxidizing method and would not deplete much sugar from the skeletal muscle-. It is noted that diabetics die primarily of heart dx and the level of exercise to deplete skeletal muscle vs straining cardiac muscle could be tricky. If weight lifting of primarily compound (full body systems ie squats, deadlifts) movements to the extent that next day soreness is experienced=> lactic acid, this should deplete skeletal muscle glycogen ( recall-soreness = lactic acid <- pyruvate <-glucose<- glycogen in the muscle) . The nocturnal glucogenesis now will instead of overfilling the blood, will in fact slowly fill the depleted muscle glycogen stores. This is conjecture based on biological systems and has not been proven in a court of natural law. ...The utility of anaerobic glycolysis, to a muscle cell when it needs large amounts of energy, stems from the fact that the rate of ATP production from glycolysis is approximately 100X faster than from oxidative phosphorylation. During exertion muscle cells do not need to energize aerobic reaction pathways. The requirement is to generate the maximum amount of ATP, for muscle contraction, in the shortest time frame. This is why muscle cells derive almost all of the ATP consumed during exertion from anaerobic glycolysis...indiana state u biochem course-of course the fastest rate of ATP production is the phosphagen cycle but only lasts 6 seconds