Are people confusing countersteering with actually turning the bars in the wrong direction past the centre straight ahead point?
To me countersteering is when you are in a turn [say left for argument sake] the bars are turning to the left but you apply pressure with the left arm forward to stop the bars turning tighter on themselves, usually this is only required in extreme circumstances or forces hence I have only experienced it on the track and motor bike riders experience it due to the higher speeds and weight that they deal with.
I'm not stirring this up honest