But Darth...
There is only one problem with all this LBS vs. CS debate - They're both right, and they're both wrong!
Now follow me here...
Sure, you can get a bike to turn, and countersteer, with your hands off the bars. It's easy. Don't believe me, but want to prove it?
Just jump on a bicycle, get up a head of steam, take your hands off the bars, and turn it with what you and Reg call LBS... But when you do it, pay *CLOSE* attention...
*WATCH* the front end very closely. As the bike starts to lean the direction you want to go you will see the front *COUNTERSTEER*, all by itself!!!
Interestingly enough, it will first coountersteer, then go neutral, and if you keep leaning, go positive steer... Why?
Because it has to.
Read those
http://pdmec4.mecc.unipd.it/ links I have above in this thread and you will understand why. It is simply a function of the geometry of a single-track two-wheel vehicle with positive rake and trail.
As the bike begins to lean toward the inside of the turn, the steering head is pulled to the inside, too, but the gyroscopic precession of the rotating front wheel resists the change in its direction, and it has a natural physics tendency to try and rotate about its steering axis (about the steering axis is the direction of least resistance...) in the direction that will allow it to remain most upright (it is "gyroscopically" trying to maintain its position and orientation in space over time due to rotational inertia). To do this it *HAS* to turn in the countersteering direction, which drives the front tire "out from under" the vehicle, just as you would if you initiated the countersteer, and started the turn...
As the bike leans, the center of mass begins to take on a new direction in a vector away from the original, and as the front wheel is drug back in line with the direction of travel, both by the rest of the mass of the vehicle and by the natural self-aligning torque of an air-filled tire, the gyroscopic precession is overcome and the rotating wheel trys to return to equilibrium with the direction of travel and mass of the vehicle, working through the magic of rake and trail to drag the contact patch back in line...
This is when the front end will appear to go back to neutral.
If the lean continues past a point where the mass leaned into the turn starts to fall out of balance with the centrifugal force of the arc of the radius, then the the steering head attempts once agin to drag the steering head out of equilibrium...
When it does this it begins to again pull the front wheel out of its gyroscopic equilibrium, which the forces of precession try to fight, which turns the front end *INTO* the turn, essentially trying now to "countersteer" the bike back upright and into a state of equilibrium again relative to the direction of travel.
This is when the front end appear to turn into the corner...
Now, if you keep leaning the front end will turn in more and more trying to drive the vehicle back to equilibrium, but at some point all of this will overwhelm the slip-angle coeffcient of friction available to the front tire, and *WHAM*, you fall down and go boom!
(This is also another reason why over-aggressive "hanging off" in a corner can often lead to "losing the front end", BTW... as such antics keep dragging the front end in a more positive steering angle to maintain equilibrium, finally pushing the front end and losing grip with the front tire due to excessive slip angle - and so, why so many squiddies who like to try and look like big time racers fall off on the low-side so much...

)
So, Keith is right, and so is Reg... And they are both equally wrong. Of course, neither one of them is much of an engineer...
One point, though... The heavier the single-track vehicle, or the faster one travels (or a combination of both), the less effective the LBS method will be... Which is why the stunt rider you mention can do those full lock hands-off turns... BTW, take a close look at which way his front wheel is pointed when he is doing those hands-off tight circles... Teh front end is in postive-steer, not countersteering, and not neutral...
Back to mass and velocity and LBS... Why doesn't it work as well with heavier vehicles and faster speeds?
With the heavier vehicle your body mass is a smaller percentage of the total mass of the vehicle, thereby it is harder for your mass to drag the steering head over and alter the direction of the vehicle...
And at faster speeds, the inertia of the vehicle resists changes in direction more fiercely.
And if you combine the two, well...
And that's why it is easy to demostrate all the above effects with a bicycle. With it your mass is far, far greater than the mass of the vehicle, so it is easy to overcome the vehicle's inertia.
Anyway, that's why I mention in the earlier post that one could not forget about the factors of gyroscopic precession, tire camber force, slip angles, and tire self-aligning torque.
Isn't geometry and physics *FUN*!
Cheers!
Dallara