That's exactly it. Countersteering is a learned behavior that people aren't aware they do. They will describe it as leaning into the turn or whatever. Then, when they are in an emergency and need a tighter turning radius, they instinctively put in the wrong input and the bike straightens up. Explicitly teaching countersteering helps teach them to respond to emergencies with the correct input.
https://www.youtube.com/watch?v=9cNmUNHSBac