This makes no sense to me. The question at hand is: Does weight sorting (easy) serve as a reasonable substitute for volume measuring (tedious)?
A loaded case is filled with a combination of powder, air, and (partially) the base of the bullet. With closely controlled seating depth and powder charge weight, the remaining variable is the amount of air because, it is assumed for purposes of this thread, one case will have a different internal volume than another.
The argument rages on about how much case weight correlates to case volume. Some say not at all, others disagree. But I think most people agree that cases do vary in volume. I think most people will also agree that empty space in a cartridge (assuming constant seating depth and charge weight) will have an effect on chamber/barrel pressure; the idea being that if you can hold that empty space constant by sorting your cases or buying better quality brass then you will enjoy improved consistency at the target.
Both errors in powder charge weight and differences in empty space inside a loaded case will effect chamber/barrel pressure, burn rate, and barrel time and; therefore, will have an effect on precision at the target. I'm sure there is a relationship between these two possible reloading variances. But, even if case weight differences properly describe variations in case volume, I would argue the ratio of the density of brass vs the density of powder does not properly describe the relationship of charge error vs differences in empty space inside a loaded cartridge when it comes to group size on the target.
Said another way: Variations in weight and volume of brass, air, and powder certainly have an effect on precision but the ratios of these variables isn't linear. Consequently, I don't believe you can say an error in charge weight will produce a change in POI similar to a variation in case weight which is eight times as large as the charge weight error.