Pushing into the left rein was a reoccuring problem with Pinochio and Fabian. It seems to relate to the horse's warp. The tendency of the modern horse's flexible section's spinal processes (i.e. directly before the rider's seat bones) to lean towards the right appears to be the primary cause. My tendency to 'hang' on the left rein the secondary.
I.e. I have doubled my efforts to be light on the left rein. The problem persists while the horses are long and low. When they begins to raise themselves up it disappears. Flexions from the ground do not transfer to the horse in motion. I.e. there is no recognizable teaching value or physiological improvement in setting the poll or bending the neck in hand. I have begun to address the question while working on the lunge. A simple direct rein to do a turn-around-the-shoulders in single steps does wonders as soon as the horse gives in the jaw without bending the neck or setting the poll. This lesson curiously introduces as well d.l.G's sideways release of the neck.