Good stuff, you didnt pay attention obviously.
When the bullet is accelerating it causes a "ripple", "whip" or wobble in the barrel. For exactly the reason you have stated above. The point that the bullet exits the barrel, this wobble may be higher or lower than actual POA, hell it may be to the side and a minor deflection of the barrel could equal several inches down range.
SO!!! depending on charge weight, bullet velocity, bullet weight, etc. etc etc... Different loads will exit the barrel at different times relative to the "whip" of the barrel and have a different POI. This is the whole basis of load tuning and why dedicated target shooters us a heavy barrel design. The thicker the barrel the more the "whip" is reduced and load tuning becomes easier. It is also refered to as barrel harmonics, perhaps you have heard of the term?
Now, as you also stated in a previous post about trigger weight. Here is how that works. The more you interact with the firearm the more you are upsetting it, the whole idea behind a light trigger is that the rifle is not upset as much by the shooter. Try a tight grip for a 5 shot group, then try a very loose relaxed grip. You WILL see a different in POI. Try a 5 shot group holding your breath and try one shooting on the bottom of your breathing cycle when your lungs are empty. You may not even be aware of all the small parts of your interactions with the rifle that can seriously upset it. These things are generally what attributes to horizontal stringing on groups, and to be honest what every shooter is training to become consistant with so they shoot better. You have a point with your ideas on the rest attributing to POI changes but I can promise you it has more to do with your technique than the rest. The boys who do this for a living can shoot from an unsupported sitting position better than guys like us from a sandbad rest. Its all about training and technique, be consistant and the rest you use makes very little difference.
Perhaps you could stop being defensive and attacking people when they try to help or dish out advice. Of course this is probably all of our faults for not understanding what you are trying to say.