As I posted not long ago, when I sorted a box of Lapua brass, I did find a significant difference. But, I wouldn't say much difference, if any, in "accuracy" . . . but in "precision". That is, the two groups of brass I used produced more consistent results with low SD's and low ES's. So, what I get from sorting brass (by weight) is more consistency by identifying the outliers that so often throw off an ES and set them aside.
Here's what that weight sorted box of Lapua .308 brass looked like (and yes, they were sorted AFTER having been fire formed, trimmed to length, primer pocket uniformed and neck turned but not sized yet, so the dimensions are pretty uniform):
View attachment 1319030
The one group tested was column 5th & 6th from the left and the other group was the 3rd and 4th column from the right.
While I find that sorting by weight/volume works to get better consistency, I don't think you'll see much difference until one is shooting long or extreme distances. But I do like identifying the outliers at both ends of the range of measured weights and keeping them for a separate use.