Windcutter,
I agree with Gunny and Coydog B., but for another different reason.
There are at least five components in the usual BP cartridge that would contribute to weight variability. They are 1. case, 2. primer, 3., powder, 4. wad, and 5. bullet. If you use additional wads, grease cookies and/or filler, there are just more varying components.
Each component has to have a tolerance. As mentioned, cases within three grains, Powder within +/- 0.2 and so on.... So when you assemble a cartridge, you may use all light components, all heavy components or ANY combination in between.
Using the case at three grains, powder at +/- 0.2, and a bullet at +/-0.5 and ignoring everything else, you still have a completed cartridge weight varying by 4.4 grains. (3 case + 0.4 powder + 1 bullet)
When you weigh a cartridge, there is nothing to tell you what combination of component tolerances produced that weight. I don't believe that you would get any illustrative information from knowing the weight. I know I'm much better off using the extra time to cast and load more.
I do pay close attention to concentricity on cartridges assembled with neck tension.
Y'all be good.
horsefly