This might be the difference between a "hand motion" controlled pivot and a "hands sensation" controlled pivot...no...those terms are not in the book but ...
The book and TGM tend to focus on learning through sensing lag pressure...once sensed the pivot can direct the hands along a delivery path appropriate for the shot. The book mentions taking sufficient time at "top" to plot the required path for dwonswing.
But this system requires time for lag sensation to be experienced at loading...brain then computes required delivery path...then action taken.
What would happen if the brain automatically moved the hands along a preprogrammed delivery path...without any conscious waiting for lag pressure.
To a player it might feel like "just moving the hands"...
maybe?? more fuel to the fire... and either way - I suspect that the body moves first anyway!