All other things being equal, then weighing cases does give you a pretty good idea of what is most important...case internal volume. Measuring case volume is a very slow and time consuming task that also needs to be done correctly and not with just plain old water. Either way the internals of the cases need to be spotless, not full of old burnt powder residue. Fire forming first I believe has very little to no advantage other than coating the inside with crap, more to the point and like most case prep is to FLS every case first, then trim necks and you have a series of cases that are the same datum point measurement on the shoulder and the same neck length so overall they are pretty close. Firing them might flow a little brass around into other spots but it's still there so doesn't change anything really.
This sort of stuff is all about precision target shooters that are willing to take every task to the extreme to gain just that tiny, tiny fraction of improvement in accuracy and/or consistancy. Certainly not for the average Joe and probably not with ADI Cases that really are not up to the quality standard required.
It's all pretty crazy, just depends on how crazy one wants to be...
Me, I'm pretty stupid crazy but a couple of friends I reload for don't think so when they saw the improvement of accuracy and started winning competitions. I mean really, who weighs powder loads down to individual granules of powder and checks them. Haven't gone crazy enough to count every one of them yet...