65 Pages in...impressive.
So I am a n00b. I have put less than 2000 miles on my bike. I actually took an MSF course (twice in about 4 years) And they explained counter steering. It made no sense the first time around. The second time however I was a little more comfortable on the bike, and played around with pushing the handlebars a little more, and wow! All the sudden the bike fell into the turn the way it should, like MAGIC! All well and good at 25 MPH in a controlled environment.
On my commute to work there are some twisty bits
and as I became more comfortable I rode a little faster through the twisty bits until
then I remembered what they said in the MSF class "if you're going a little too fast in a turn, push harder and the bike will lean more letting you go through the turn" Before I crossed into the other lane (this particular curve is a right hand curve) I pushed the RIGHT handle bar FORWARD and the bike leaned harder RIGHT and I made the curve with minimal fuss.
So should Counter steering be taught? Yes absolutely, KNOWING that pushing the handlebar would make the bike turn tighter probably didn't save my life or anything, as that road is a relatively tame 55 MPH back road with almost no traffic, but I knew what to do in the situation. Counter steering won't save the Squid who's doing 120 and dumps his bike because he ran out of traction, or couldn't make a turn, but it may well save someone who is riding a little to hot for their entry angle. It does need to be practiced, and that's what I'm going to tell the LEO who is certain I am drunk weaving down the road.
For those who would like a demo to explain to people get one of the kid's toy gyros ( like http://www.thinkgeek.com/product/eafc/
) turn it sideways and spin it up and then have the person you are trying to teach push the gyro and see what happens. It's basic physics, but it is often easier to show than explain. having someone feel how the gyroscopic action wants to move may help them believe/understand how it works on a motorcycle.
As they say on Mythbusters: WARNING SCIENCE CONTENT
Knowing what will happen when you push on the handlebars is important, why, how, and specific properties less so, but for the scientific minds, a gyro responds to an input on an axis 90 degrees from the input axis. Push up it goes left, push down -> right, twist left it rolls in a funny way. Anyhow here is a good wiki article on gyros. http://en.wikipedia.org/wiki/Gyroscope
Source: I am a gyro.