"[snip].......
Each time you will get a different weight (ie "volume").
But the real volume doesn't change, the shape of the case, and the spring back, change with each firing.
.... [snip]"
Did you misspeak? Unless you're testing in a freezer, the weight of water and the volume of water are essentially interchangeable; i.e. since it's easy to measure water weight, you can use that to compare relative case volume rather than measure the actual volume because volume is so much more difficult for must of us to measure.
So if the "real volume" doesn't change, then the actual shape of the case doesn't matter. A tall skinny 750 ml bottle of Bordeaux contains the same volume of wine as does a 750 ml bottle of Pinot Noir, even though the Pinot Noir is short and fat.
Or, perhaps I misunderstood what you are saying. I won't argue the fact that a fireformed case may be a different volume than a resized case, but if two cases have the same volume but different shapes, then the question of volume is self evident. Did I miss something?
I do not see what is so hard to understand.
1 - Metal cases (or other things) of the same alloy, even with different shapes, will displace the same amount of volume. (Archimedes, 300 B.C.) who has never been wrong.
2 - The case(s) will vary in shape and "free standing volume".
3 - So the measured water will vary too.
4 - But we are interested in the case volume under pressure.
5 - So measuring cases by filling then with water, will vary, depending on several variables.
6 - To be accurate in using water, you must constrain the case body in a uniform (and repeatable) space.
7 - That means in a Full Size die, or a Body Die, where all the cases are held in the same size "girdle".
... or, you can weigh the case(s).... if the case weighs the same as others, and is put in a chamber under a bunch of pressure, then the inside space will have the same volume, even if it's distribution varies