Based off of your just foolishness comment you are getting frustrated.
I never said you advocated to the bat touching the rear shoulder. You did say it gets near the rear shoulder and stays there in a connected swing.
Your next comment where you say they come around in an arc around the shoulders or on a low pitch the waist is truly pure nonsense. You are describing the longest swing possible.
Now it is, when the tip of the bat is committed determines the length of the swing? I am now confused. Are you saying commitment as in your definition of when the tip starts to move?
You didn't respond whether or not the hitter in the clip has a long or short swing based on your definition.
Yes I did, it was right above you. "Very compact".
To the first question. Yes, it stays near the shoulder in a connected swing. Yes visually the hands, pull the bat around the shoulders in a connected arc. The shoulders have width, and pivot above the pelvis, the front hip moves away as the back hip pushed through. So the hands comes around the shoulders in an arc. Though I would term it more linear than an arc to connection. But that is semantics.
The hip rotation doesn't slow down to allow the hands time to catch up. The hands are there! So once heel plant occurs, the hips rotate and the hands are there! At connection! So unless some other activity interferes with a quick swing, such as sweeping, or bat drag, which in this case they are not, then the time of the swing will be determined by the subsequent extension. If, a player uses a lot of coil, a straight front or barred arm, squish the bug, or bat drag, tucks the back elbow, or isn't athletic, then the swing will not be quick. But if the front foot sets down in time, rotation is accomplished efficiently, then the bat is there to deliver. Pujols did it about as simply as you can get in his swing shown above.
[video]http://hittingillustrated.com/images/PujolsIR.gif[/video]