I was never taught it, passed my IAM test before the phrase came into common usage and earned my living on a bike for a couple of years without even being aware of the phrase.
I didn't need to know what it meant, because every bike I road counter steered without any input from me. It's how a two wheeled vehicle reacts when you bank it over, you don't need any rider input at all. Instructors who "Teach" it are just repeating the latest buzz phrase, in reality they are trying to show you how to do what you have been doing ever since you first got on a motorcycle. If you didn't you would go straight on and crash every time you got to a bend. I liken it to trying to teach an adult that to walk forward one foot has to first go in front of the other one, and treating it like it is some sort of revelation.
I may be being picky but......
"very bike I road counter steered without any input from me" - Without conscious input, you certainly do give an input to counter steer.
"It's how a two wheeled vehicle reacts when you bank it over, you don't need any rider input at all." - This is backwards, the bike banks BECAUSE of counter steering, there is no other way to steer a bike.
People just aren't aware of it, as when we learn to ride bikes at 3 or 4 years old or whatever age, we learn to do this subconsciously. We are not aware of this action until it's pointed out, and then it's denied massively as it's counter-intuitive. But, it is the only way to steer a bike, our brains figure it out through experience.
In fact, if you watch a young child learning without stabilisers and go wobble violently before falling, you can see what happens before the brain has clicked that turning the bars left initially lean the bike right.
I posted a pdf above about the physics.
View: https://www.youtube.com/watch?v=C848R9xWrjc
View: https://www.youtube.com/watch?v=4PbmXxwKbmA
View: https://www.youtube.com/watch?v=MFzDaBzBlL0
People talk about it as an "option", but it is not, it really is the only way to steer a bike above walking speeds, the heavier the bike, the lower the speed in which the steering changes.
You're right, it's not a revelation, but the concept is difficult to grasp, and many do get the points backwards.