I would imagine you are using the likes of Winchester, Remington or what ever cases and this is what happens with ordinary type cases.
Not long ago I was given some 4-500 once fired Winchester .223R Cases picked up on a range. I have prepped basically a few hundred, no neck turning and these I'm going to do a basic weight sort. I expect as you have a wild variation in weight but when I find the time I'll have a go and see what sort of numbers I get. If I get a run of at least say 20 cases within 0.2gr I'll give them a trial as one batch and trial say the same number that aren't weight sorted to compare the same load, bullet etc.
The .223R I have and know is reasonably accurate, 0.5 MOA is a CZ 527 .223R Varmint, Single Set Trigger and a reasonably flat forend that will ride a front bag reasonably consistantly. The test will be with one of the match grade bullets I have like Berger, Nosler Custom Competition or Sierra Match Kings.
I wouldn't expect any improvement over the normal 0.5 MOA accuracy but I'd expect less unexplained flyers that spoil nice groups. It's all a bit of fun and more so good practise. In fact I'm just in the process of setting up the shooting bench outside, wind has dropped so I might spend the afternoon with the cases I have batched and loaded from last night. Mainly to check zero on a scope, varify ballistics and set the scope for the required range and save me some time sighting in at the actual range next week.
It's nice to be able to shoot at home and make quick adjustments. One advantage of living in the bush.