From you initial question and your supporting commentary it sounds like you "think" you understand this, but it sounds like the collective experience from this board suggests otherwise.
A well placed shot that exits will cause ample damage to kill the animal very quickly while providing a path for more blood to exit for tracking and to potentially allow more air to enter the chest cavity - all the while not causing the animal the sort of stimulus that can cause them to get their adrenaline up and to run harder/farther which generally occurs when an arrow does not exit.
But let's play devil's advocate. How do you keep that heavy arrow you reference from fully penetrating? Do you shoot low poundage (and what if you do and accidentally hit heavy bone)? What if you get a partial passthrough so you do not get additional cutting plus it energizes the animal to run further? Or worse yet, you bury the arrow in the offside scapula so that you don't even get the second hole?
The only person I've ever met in the field who subscribed to your theory I met just as he was recovering an elk, and he had done just that (stuck the BH in the offside scapula, so he didn't even get the continued cutting effect he had carefully tailored his equipment to acheive). It worked in that he killed the elk, but the recovery likely would have been faster and the trail shorter if he had a passthrough.
With the ~100 animals I have killed with a bow, I would say the common range of incapacitation from a double lung shot has been 3-8 seconds. I would posit that playing out your strategy won't reduce that time, would like add to the distance covered in that time, and would reduce the likelihood of recovery on many marginal hits.
There is a school of though to use some of that excess energy to increase cutting diameter while while achieving an exit to which I subscribe, but the notion that leaving the arrow inside the animal will aid in recovery is contrary to the experience of every accomplished bowhunter I know.