I don't know why you're arguing this so vociferously when, by your own admission, you don't grasp the physics. With respect, you are straightforwardly wrong about this and the reason why you are wrong is internal ballistics 101.
The idea that the squeeze section somehow improves efficiency is clear nonsense. Look up the dimensional identities of the physical terms you are using. Force is what accelerates the bullet. Pressure is not the same thing as force. Pressure is force divided by area, which is why it is in units like pounds per square inch, or Pascals, which are Newtons per square meter. Tapering the bore section of a working cylinder will not increase the force tangential to its long axis; any increase in pressure that results is because of a proportional decrease in area. This idea very obviously does not work.
Gas generation rates of propellants are indeed complicated, and also completely irrelevant to this question. The work performed on a projectile in a barrel is the integral of the pressure curve with respect to the distance travelled times the cross sectional area. That equation does not change. It doesn't matter what shape that pressure curve takes, in much the same as it doesn't matter whether an engine uses three or four valves per cylinder or what the shape of the piston head is; the gross horsepower formula is still BMEP x RPM x displacement.
There is no evidence whatsoever that Gerlich, who invented the taperbore, thought that his system improved internal ballistic efficiency. It simply is not mentioned in
the original patent at all. But do you know what is mentioned? Squeezing down the flanges on the projectile in order to reduce air resistance. Because that's what the purpose of a squeezebore is.
Don't believe the guy who invented it? Read this
US Air Force Autocannon Ammunition Development Summary and see what it has to say about squeezebores. It makes it
very clear that the point of a squeezebore is to have low projectile sectional density in the full-caliber section for maximum in-bore acceleration, but a high ballistic coefficient once the skirts are folded flush with the projectile body.
I have one or two other archival documents on the topic which are debriefs of German scientists, and I don't know if these are publicly available. Suffice it to say, every single one of them is consistent with the idea that squeezebores are a way to combine a streamlined projectile with a high bore swept volume, and there is no indication that anyone associated with the development of the same ever believed otherwise.
I don't know where your notion on this came from, but it is contradicted by elementary internal ballistics science and a wealth of archival documents.