you are more likely to experience fade if you brake hard/fast rather than light/slow. there are two reasons: the first and foremost is that turning your energy into heat over less time will give your brakes less time to dissipate heat during the braking period, leading to higher temperatures at the end of the braking period (beginning of the curve). secondly, by braking later, you lose the assisting effects of wind and friction resistance over the difference in time.
so look at it this way: as you approach a corner, you can use the difference in braking zone distance to do one of two things: you can slow your car early, during which time you are dissipating energy into the air and friction is also slowing you down. or you can continue driving at the same speed, during which time no energy is being dissipated. when you enter the do-or-die braking zone, the first option has already dissipated a significant chunk of energy into the air. the second option has dissipated nothing, leaving you with more energy to dissipate during the same amount of time, so the second option will get hotter.
once braking ends, hotter brakes will dissipate raw energy faster than cooler brakes, but they are still hotter while they do so (meaning they have a lot more energy left to dissipate into the air). having hot brakes increases the chance that if you need maximum braking unexpectedly (a deer jumps out) you may have to hit them when they haven't yet cooled. and that's when you'll realize your brakes have faded. that's bad. 🙂