Counter steering has nothing to with weight change or re-distribution. It is a simple principle of physics and the laws of gyroscopic action of two wheels in the single plane. I am sure there are some examples from the science labs out there to explain it.
In real riding experience, I recall riding my Laverda Jota through a long set of twisties (with buddies to keep up to), I remember the thing going through my head was push and pull - meaning to help man-handle the over weight and less than nimble bike through the twisties, a lot of effort was put into the handlebars pushing / pulling to use laws of physics to overcome the lazy the tendencies of the bike. A lot of work and mental concentration, but the bike performed remarkably well and kept a handy lead. I also have a MV Brutale that is so responsive to the slightest effort on the bars, you can change line mid corner, the complete opposite end of the scale.
I find the Vincent flat bars, lend themselves very nicely to counter steering, almost intuitively as the arms are in the right position to add a little weight to one hand or the other as required (no extreme effort of pushing and pulling as on the Laverda).
Also note sometimes following some youngster sport bikers that have experienced track days and bringing their skills to the street - you see them hunkered over, throwing the knee out and moving the bum .... all the while I am right on their tail, a lot more upright and countersterring on a larger, heavier, less capable bike. There is a place for track skills, that would be on the track...