Counter steering gets plenty of attention as if it's a thing.

The simple fact of the matter is that we all do it to an extent whether we know it or not. It's IMPOSSIBLE to turn a two wheeled vehicle before leaning into the anticipated turn. If you attempt to do so, the bike's track will move into the turn putting your body outside of the track and dumping you unless you recover by turning the other direction.

Actively countersteering, corrects for that by putting the wheel track outside of the intended turn. As I said we all do that because we learned to do instinctively early in the process of learning to "balance" in the first place.

That said, consciously countersteering more than you might otherwise, enables a faster harder turn in an emergency situation. that too is learned and done instinctively as one encounters situations and adapt.