The best brass I've measured and used has been from Lapua and Alpha. Admittedly they aren't cheap, but they are consistent and high quality. Using unmodified brass from those two brands, only chamfering the necks inside and out with a hand tool, I can nearly always tune my loads to a single-digit SD. That said I do use a Prometheus powder measure, though I've had similar success with a Lyman Gen6 similar to your Chargemaster Lite.
If you're a benchrest shooter who wins or loses by less than a tenth of an inch it's worth your while to turn the necks of your expensive brass and sort them by weight down to the tenth of a grain. If you're a mere mortal, like most of us are, you won't be able to aim accurately enough to notice a difference because you're not using a vice to lock the gun in some massive lead sled. It doesn't hurt you though, and many people like to do it either for peace of mind or because they enjoy perfecting their process as much as possible.
I like to fine-tune my loads, but I also understand my limitations and stop investing more time once it's "good enough" for the positional shooting I enjoy. I need a low SD so I always aim for single digits, but realistically I'm fine with anything under 0.5 MOA. I can't shoot better than that on a barricade or other obstacle, and if I miss it'll be because of my aim and not my load. That said, I do still prefer tighter groups because who doesn't like the confidence boost of seeing your shots stack on top of themselves when zeroing?
Below is a screenshot of the final results of load development for my 6BR last year. I haven't finalized my Dasher load yet for this year, but I also haven't done much with it so far given current events. This was with normal Lapua brass, just sized, chamfered, and loaded using Varget and CCI BR4's under a 115 DTAC.
View attachment 7391584