Well, much as I'd love to drive my new car somewhere I have an ear infection and feel a bit wobbly, so won't risk either driving or cycling.
My life is strewn with cowpats from the Devil's own herd!
Also consider that a lot of the stuff about for low prices is counterfeit, often very difficult to tell apart from the original without careful comparison.
The tyre contact patch does indeed move unless you are doing one long continuous trackstand, and that movement is akin to the movement of your palm in the pub trick.
The principle of control by shifting a heavy mass above point and the laws of physics are the same in both cases. Move that mass...
CoG and cycling can be counter intuitive, particularly where low speed control and agility is concerned.
Try the old pub trick. Take a broom, balance it in the palm of your hand vertically on the end of its handle. If you're not too sloshed you can keep it up for a good period of time, perhaps...