If you don't understand the differnces between how a car versus a 2-wheel vehicle steers, then this discussion is worthless.

Try releasing your outside hand from the bars while cornering and tell us what the inside hand is doing. The forces on a bicycle handle bar is so small that it's hard to differentiate from the forces needed to support your upper-body weight. So try it on a bike with more vertical position to keep the weight on the saddle, like a beach-cruiser. Feel what the inside-hand is doing in the middle of a steady-state corner. Or try the same on a motorcycle at steady-state cornering. Not accelerating, not under too much power to cause a slide, far enough away from maximum-grip to eliminate loss of traction from affecting the results.

Try it for yourself and get away from the armchair. After all, I can cite numerous references that the Earth is actually flat. Real-world experience will give you valuable data.