You should have your left thumb wrapped around the back of the wrap around handle. It's very importannt in controlling the saw from coming at you in the event of a violant kickback. In most of the vid you have your thumb running parallel to and along the handle. Small detail but important.[/QUOTE
Where did you learn this? Some program?
I would like to know because I see benefit in running parallel, the stability gained by having more surface area of your hand along the handle. Possibly like many techniques, not one size fits all?
All the time I was working for the Provincial Government (which was most of my career), doing forestry work, this was part of the training. It was in their manuals, and also in another reference book -- one I still use for my guys.
Now normally I would not do this, but you asked for references so here goes.
Look in "Professional Timer Falling - A Procedural Approach" by: D. Douglas Dent - Chapter 2 - The Chainsaw -- I quote "Although both hands are involved in holding he saw, the major responsibility rests on the left hand to avoid loss of control. Generally, the most common mistake here is not wrapping the thumb around the handle bar. (Refer to Illustration 6). The correct placement of the hand is with the four finders hooked over the handle bar with the tips pointing back toward the operator. The thumb should be placed under the handle bar with the thumb pointing away from the operator. " ... it goes on further but is enough.
As I no longer use the government training material (other than a section or two I kept, I use this book and "The Tree Climbers Companion" for my guys as basic reference.