Gerrit is generally right in saying:
It is fundamentally flawed to apply brakes when propulsion is the objective. In a perfect traction control system, the wheel speeds on an axle will be regulated to be identical and equal torque will be transmitted via each side shaft. This means that 50% of the power transmitted via that axle is dissipated as heat. Brake wear is also accelerated.
Agreed. Why would you as general rule apply brakes while trying to maintain propulsion. However if you watch the video and for those that can recall climbing up a river bed with large rocks, you will be aware that after pushing hard and getting over a rock or other hill the car takes off. What you do instinctly is to get off the accelerator and onto the brake so stopping the car racing for the next rock. So far so good, but now you approach the next rock. You get back onto the accelerator but your engine is sitting at idling speed, you have zero turbo boost and hardly any drive from the torque converter. By the time all these systems gets back into play the car has stopped and you get this jerky motion that you see on the video. If you had kept your right foot partly down and stopped the car from storming the next rock at speed using your left foot on the brake, you have solid continuous power to the wheels when you need it. At the correct time you only have to release the brake. No engine speed catch-up, no turbo lagg and no torque converter delay will be noticed. This is a technique for those of us who have TC as a given. I am not saying it makes TC better than DL or anything like that. It certainly works for me.