That's strange, first you present data that is completely consistent with what I said in my post, then you say my post is wrong. Maybe you should read it again. "Bicycle manages stability on its own" when going fast enough; just as I said one can ride with no hands (I called it phase 3). Bicycle fell over when speed dropped below walking pace; just as I said (called it phase 2)
You then cannot explain why it is possible to balance a bike at such a slow speed that gyro effects are negligible (what I called phase 2).
This is an interesting claim. How does it scale with tire width? I ride both a motorcycle and a bicycle, and the difference in tire width is larger than a factor of 4! Yet they steer pretty much the same, or IOW I've always attributed the difference to the difference in mass; mass of spinning tire and also moment of inertia about steering axis.