Keep in mind when you sort by weight that different head stamps may have different extractor groove configurations. That can make a large difference. If you truly want to know the volume, you have to measure the volume.
I sort rifle cases by headstamp most of the time but only sort handgun cases if I am bored.
In addition to having greater consistency in your loads, sorting helps keep track of a group of cases more easily. This is especially important for rifle cases. I load and shoot cases in lots of various sizes. The lot may be the cases in a 50-100 round plastic box or in a zip-lock bag. I try to keep that lot together for its entire useful life. I can be alert to potential problems with a headstamp is I start seeing problems occurring in a certain lot with that headstamp.
For 223, I have found that Federal cases are shorter than LC and some other cases and may not require any trimming.
I am not a serious bullseye competitive shooter with a handgun and just keep using mixed headstamps over and over again until individual cases need to be discarded because they split or have loose primer pockets.
I don't think I have ever weighed a case in nearly 50 years of loading, but then again I am not a 1,000 yard competitor, bench rest competitor, or bullseye pistol shooter.