Meh I'll listen to my instructor
Did a quick google, as simply put I find what your saying counter intuitive, if the car is starting to over steer or the rear tyres start to lose traction are you telling me I should just go on the brakes and not counter steer? What is that going to do? Like I said it seems to me if you brake mid corner, you are going to make the rear end light, lose even more traction on the rears and be rewarded with a continued slide and loss of control. I will always try and countersteer.
See below link. In anycase if people do want to learn what do I suggest they do take a defensive driving course.
I've also tried the brake theory out on the track, maybe I wasn't gently enough but I was rewarded with a continued spin.
http://www.drivingfast.net/car-control/oversteer.htm