It is considered that leaving your braking to the very last minute is important, and I would agree that it is important, but I'd also say that it's where you take the brakes off that matters. Often, if I want to go through a given corner quicker, I don't necessarily put the brakes on any later, but I might not put them on so hard and then I let them off quicker. How you get led into this trap is by going deep into the corner and not braking until the last moment. Doing this you might arrive quicker, but you then tend to brake much harder than you need. It often happens that a driver when trying hard will set up a fast lap then, when told to ease off and relax, will find himself lapping just as quickly. This would appear to indicate that when he was trying he was really over-braking and slowing the car more than he needed.