excessive countersteering doesn't really work sometimes in a RWD, its the matter of how smooth and how fast you counter steer and "catches" the oversteer.
you're not using a FFB wheel, so it may be hard for you to judge whether the rear tires are starting to skid/slide... its not the matter of how much you countersteer, but how early/fast you made the counter steer when the car is starting to skid or slide. I'm sure in the replays you've watched, those guys didn't really counter too much, but they "catch" their slides fast enough with just the right amount of counter steering, thus eliminating the oversteer in short time.