Well, I think I learned something today. I couldn't immediately agree or disagree with the statement that ANY second diaphragm is over-balanced, so I did some research.
From what I can find, the over-balance is a function of the ratio between the size of the two diaphragms. So the Legend and Apeks use a diaphragm on the environmental seal that has a larger operative surface area than the main diaphragm, and make the over-balanced statement. If they are the same surface area, then I believe there is no over-balanced effect. And of course, if they are close to the same size, I could see not making a statement that a 1st stage is "slightly" over-balanced.
If anyone else has something definitive to add, I am always ready to learn. And no, I did not break down any regulators to compare operative surface areas of diaphragms today, but you can bet I will be looking closely the next time that I work on one.
Your statement is for the most part correct.
But I would like to change one piece of terminology. We are technically not talking about balancing or over-balancing. The subject is actually about the ambient pressure compensation or over-compensation (of the ambient pressure).
I realize the manufacturers are all using the wrong terminology, but that is because it is being driven by their marketing group and not by engineering. As an engineer I dislike using the wrong terminology. What is the point of a common language if everyone makes their own definition?
So about the area ratio of the diaphragms.
I would like to introduce the term of “effective pressure area”. What I mean is that the two diaphragms may actually seem to have the same area, but they may not behave the same. The actual working area (or effective area) of a diaphragm can be affected by its stiffness, by the clamping condition, and by other constrains that limits its flexibility (like a large central disc).
The inside high pressure diaphragm is probably stiffer and the clamping force around the perimeter is probably higher. Therefore the edge will not flex as much and the effective flexible area may be significantly smaller than a more flexible diaphragm of the same diameter, for example the outer environmental camber diaphragm.
So the pressure areas of the two diaphragms may look to be similar (or the same), but the actual effective working pressure areas could be significantly different.
The percentage of flexible area lost can be significant since the constrained area is on the outer perimeter.
It is my speculative theory that “over-balance” (actual over-pressure compensation) was the result of originally designing the outer and inner diaphragms using the same diameter, but not taking into the difference in effective area due to diaphragm stiffness and perimeter clamping effect. Instead of correcting this issue, marketing just made into a advertising feature.
I have no proof that this is how it actually happened, but to me it seems like a logical explanation.
BTW, I have experimentally confirmed that performance of a second stage LP diaphragm can change as a function of how tight I clamp the diaphragm. In other words I was reducing the working effective area by clamping the a diaphragm too tight. I performed these experiment with a vintage double hose regulator (very large diaphragm)using a new very flexible silicone diaphragm.