Edward,
You did a fine job coming up with that tug-of-war analogy. You've misled quite a few people into thinking bind is a good thing.
Let me step in and clarify a few things about your analogy.
You said you have three pulling teams and each team pulls all they can and then passes the rope over to the next team.
What you don't seem to realize is that your pulling teams (clutches) are traveling at drastically different speeds.
To make your analogy a little more practical, put team 3 (3rd gear) on a vehicle driving by team 2 at 30 mph and tell them to grab the rope. Now you have two choices, you can either grab the rope that team 2 is still desperately holding stationary with all their might. Warning: Team 2 already has a solid hold on the rope and if you try to grab it while driving by at 30 mph, your hands will be severely burnt. (bindup)
On the other hand you could make team 2 let go of the rope before you grab it so it doesn't have to burn your hands unnecessarily. With this method, all you have to do is speed up the rope to 30 mph and your hands suffer the least amount of damage.
Now what if team 2 lets go slightly before you are ready to grab it. The opposing team will start to move the rope in the opposite direction from team 3 on their moving vehicle. So now let's say team three has to accelerate the rope from 0-35 mph. That's still MUCH easier on the hands than trying to yank the rope out from team 2's hands.
To sum it up. During your "transition" period, one or both clutches HAVE to be slipping. If both clutches applied fully and weren't slipping than the output shaft would HAVE to stop turning. That means skidding tires on the pavement.
Also you seem to be confused on the difference between shift overlap and shift speed. They are different yet you don't seem to understand that. You CAN have a slower shift (livestock type) without bindup or with excessive bindup either way. It's all in how you build and tune it and what parts are inside. Obviously the people you get your information from don't understand that yet.
I would really like to take this discussion a little deeper and probe into governor pressure curves and the effects an electronic box can make on bindup. But you are going to need to do a little more homework with a pressure gauge first. That's why I gave you that (hint, hint) in my first reply.
But you can't just test one or two trucks, because they don't all have the same curve programmed in the PCM. Surely you at least know that.
My favorite line of yours is this.
This only changes when the shift happens not how fast it happens.

I still chuckle reading that. I know that once you spend some more time testing governor pressures and mapping out governor curves, we won't be arguing anymore. That's why I'm trying to get you to actually do some testing before speaking/typing.
Best wishes in your testing,
Chris