The funny thing about that countersteering 101 video is the cyclist at 2:23 doesn't countersteer to get ready to face the camera. And I don't think the motorcyclist just before that countersteers in his turn to face the camera either, but that's harder to see.
The advanced descending video is interesting as well. Anyone that has ridden many switchbacks will go wide (opposite the turn) just before the turn in order to take the widest radius through the apex. It's natural to let your body go straight to the inside of the turn when doing that initial turning out. So you might think I was intentionally countersteering. I want a thought bubble over my head that says, "not countersteering."