You can get the same thing by shifting your weight around.<quoted text>
How did you experiment? There are all sorts of ways to bicycle wrong.
Amaze me by showing footage of a bike turning left without a turn of the handlebars to the right first. It is a subtle motion, but to get a bike to go left first you have to cause it to fall to the left. You do that by steering right. Now if you turn to far to the right with the intent of leaning left you can buy it.
That's how I've always done it, by leaning into the curve alone.
Counter steering only works at low speed, at higher speed your wheels are gyroscopes.