I explain in a different way (dyslexia perhaps). Pull on the right to go left and visa versa, especially evident at high speed cornering. But with our wide bars it's quite obvious to me that there's a definite opposite pull while cornering hard, albeit ever so intuitive. And like you, back in the day I was not even aware of something called, "counter steering." But now that it's a well used phrase in the motorcycling community, it does actually make sense.
