Not up on the hardware on new cars, just read how they operate. Just from past experience driving stock cars years ago, I think your idea would just raise the driver's work loads with no advantage. And there's the rules thing I never thought about.
As said, you brake going into the turn, then power around and out. I wouldn't want to be feathering the brake at that moment, just too many irons in the fire at a critical time. If you think you can handle it, go ahead.