I don't know how anyone can accurately measure volume, when to my mind, the only volume that counts is as the case is fired and under pressure. The fired cases are going to rebound to slightly differing degrees, and sized cases pose the same problem.
But it would seem to me that as long as all the brass is of the same make and lot, the total weight of that brass then, represents the total amount of something other than powder and bullet in the chamber at the time of firing. (The primer not counting in this respect because it resides within a recess and therefore doesn't take up any volume).
That leaves only the primer ignition characteristics, and slight variations in bullet characteristics responsible for velocity differences.
Now, I'm sure I'll get some detractors. I'm certainly not a physicist, or an engineer, so where do these assumptions go wrong?
You are correct that it is the volume of the "pressure cell" at the exact time of firing (i.e. under pressure) that is critical. The pressure cell volume is the internal volume of the case as it has expanded to match the chamber dimensions. One can always make the argument that fired cases spring back differing amounts. However, in my hands, the measured external dimensions of fire-formed cases are extremely uniform, suggesting that variance in the amount of spring back is quite small. Donovan's external measurements of two cases prior to lathe dissection as shown above also support that conclusion, both cases being identical to .001" in several different regions. Nonetheless, variance in the amount of spring back between different cases may not be zero, as you noted.
In considering what effect spring back variance might have on measuring case volume of cases
after they have been fired (i.e. not during firing at their maximum expansion), the most important factor would not be the
total amount of spring back, it would be the variance in spring back between cases, as you noted. In other words, if all cases had an absolutely identical amount of spring back, then the measured volumes would all be perfectly proportional to their volumes in a fully expanded state (i.e. during firing), and spring back wouldn't be an issue.
The key here is that the total amount of spring back in fired cases represents a relatively small fraction of the total internal volume. For example, it is not uncommon to push the shoulder back no more than .001" to .002" during the re-sizing process. The case walls down to an area just above the webbing are also squeezed down during the re-sizing process. But again, we're talking about a few thousandths here, which is only a tiny fraction of the overall internal case dimensions/volume. The spring back of the brass should not be any larger with respect to its effect on internal volume than what is done to the case during the re-sizing process. In other words, it's a very tiny fraction of the total case volume. More importantly, only the
difference in spring back between different cases, which is an even much smaller fraction of the total internal volume, would be important.
The bottom line is that your premise about the fully expanded state of the brass being the critical volume component, i.e. the pressure cell, is correct. However, in more practical terms, variance in the amount of spring back between cases represents such a small fraction of the total internal volume that it is not a limiting source of error when using the internal volume measurement of fired cases as a surrogate to the pressure cell volume for comparative and/or sorting purposes. It's not really possible for the average reloader to measure brass volume while it's under pressure fully expanded, so we make the assumption that spring back is not a limiting source of error and measure the next best thing - the internal volume of fired brass.
As precision shooters, we want to control as many variables as we possibly can. Consistency/uniformity is absolutely critical for good precision. In order to achieve that, it is important to identify and address the limiting sources of error first (i.e. the largest and most critical sources of error). Spending significant amounts of time and energy to resolve some extremely minor source of error is wasted effort toward improving precision as long as much larger and more critical sources of error exist. So most reloaders start by addressing the obvious things they can easily control to a very high degree, such as charge weight, neck tensions, etc. Nonetheless, even small sources of error can be cumulative, so once the largest potential sources of error have been addressed, many reloaders will then start to tackle the smaller ones. This is not wasted effort, especially for those shooters at the top of their game in disciplines that require the absolute best precision possible. In fact, when competing at that level, addressing the small sources of error is most often the difference between winning and not winning. So you find people doing things like sorting brass by volume or weight, sorting bullets, weighing primers, etc.
The real key to any of these approaches is first to define the goal. What, exactly, is any specific sorting or improvement step in the reloading process aimed at achieving? Once that question is answered, it then becomes critical to employ an approach that is actually capable of achieving the goal, which brings us right back to understanding limiting sources of error. In the example highlighted in this thread of sorting brass by weight as a surrogate to directly measuring case volume, it is obvious that there is a general trend that is used as the basis for this approach:
case weight is generally inversely proportional to internal case volume. Ammolytics' data at the beginning of this thread, the graph I posted illustrating the effect on volume of sorting cases by weight, and Donovan's dissection of cases using a lathe all indicate the same thing, heavier cases as a general trend have smaller internal volume than do lighter cases.
So what are the caveats (i.e. limiting sources of error) in terms of using case weight as a surrogate to directly measuring case volume? The answer is that the relationship is not perfectly linear. There will always be a certain number of outliers; i.e. data points that do not lie directly on the best straight line through a scatter plot of case weight versus case volume. For practical purposes, the reasons for these outliers may not even matter. They exist, and therefore may limit the usefulness of this approach, depending on the specific goal of the reloader. I showed previously in this thread how dividing weight-sorted cases up into three distinct weight groups (light, medium, heavy) reduced the internal volume variance by as much as one third or more. So there is no doubt that weight-sorting can be used to improve the consistency of case volume, but it is not a perfect approach and has its limitations. Although I personally have been satisfied with that level of improvement in uniformity of case volume for F-Class shooting, there is clearly still room for further improvement/refinement. The best example of this is Bart's preliminary use of a brass weight-sorting process, followed by more rigorous testing and sorting by the actual velocity produced. Sorting brass by weight alone in Bart's case wasn't sufficient to meet his expectations, so he further refined the process to meet his goals. So the bottom line is that goal of any such step needs to be clearly defined, then a method chosen (or created) that can deliver the desired results within the limiting sources of error associated with that particular method.