I've noticed that smart people complicate what they lack understanding of.
This is a comparative measure that's simple, easy, and works.
No reason to go from concerns over specific gravities(don't matter use motor oil if you want) all the way to assuming same weight cases would magically match in capacity(they don't).
The cases match in capacity as they would be used in the field, or they don't.
If you're using only new brass, then measure only new brass, every one.
If you're using fireformed brass, that's FL sized, measure that.
If you're using fireformed brass, that is minimally sized(bumped/partial neck sized), put it there & measure it.
Don't lie to yourself about the results though. You get what you got. Maybe consider all the things you can do to improve in this area.
If you want to give capacity matching highest probability, you'll hold off on any body sizing until the cases have settled closest to chamber dimension(~3rd fireforming with no body sizing). Your cases will have settled in trim length by then, and should match in trim length, or capacity checks would be useful only as a snapshot for you, and there won't ever be any real matching of it. Many case designs do not settle(like 30-06), and many do(like a 7SAUM), which is very predictable up front given that Ackley & Gibbs already explored this for us.
And of coarse your combinations of load, chamber, dies, brass quality, and other efforts, work to improve or take you from matching capacities.
There are also combinations where capacity doesn't matter as much as others. You don't even have to weigh powder for a 6PPC to shoot 'well enough'. But if I were a competitor, I would weigh powder, and my loaded case capacities would match. My bullets would be qualified, and seated exactly the same, and my loaded runout would be very low. My primers would be seated exactly(as measured), and my striking of them would be calibrated.
I would do everything I could to separate my ammo from question about performance.
I'm not a competitor, and I do this and a lot more anyway. My ammo is as good as I can make it just because it should be IMO.