How Bikes Steer Themselves
sciencefriday.com
sciencefriday.com
However, it is the way that lets you take a deep set most quickly, and can help a lot with tight lines.
You may think that you are not out-tracking when you turn at freeway speeds, but remember the amount of necessary out-track decreases as speed increases.
If you think that out-tracking is responsible for entering turns at speed, there's an experiment to test this: If the bike leaned by moving the wheels out from under it, the bike should pivot around the center of mass. If you actually look at a bunch of road racers in the twisties, it's abundantly clear that the bikes pivot almost completely around the contact point, not around the center of mass. (Unlike bicycle racers which really do out-track.) Moving the COM without moving the contact point can not be done through wheel forces on the pavement, because they act at the contact point. It's impossible for those forces to lean the bike and move the COM is the same direction. The only thing that can accomplish such a motion is the precession resulting from applying the handlebar torque to the front wheel.
This became patently obvious when I rode motorcycles that ran the whole gamut of rake angles. Even more obvious when I then remounted a bicycle, which has drastically less rake than even the most aggressive motorcycle.
Gyroscopic action helps keep the bike upright by slowing falls. (at 100mph on a motorcycle, you must apply significant force to lean over quickly)
Rake (trail) makes it less likely the front wheel will be deflected by small bumps, and I suspect it also helps settle the bike back into neutral position. In other words, decreases the number of significant self-steering corrections that must be made.
Then, some third force does the wheel turning. I personally suspect it is tied to the way the front wheel falls to the right if you suspend the bike and lean it right.
Note: Honestly, from the diagram at 2:03 it looks like they did not eliminate gyroscopic action and trail. They merely greatly reduce gyroscopic action, reduce rake, and invert trail.