I have used a Charge Master for years and recently purchased a Sartorius Entris64. Over the past few days I've loaded 200 rounds of 6.5 Creedmoor. My load is 41.2 grains of RL16. I set the CM to throw 41.2, then check on the Sartorius and add/subtract to get the weight from 41.180 to 41.210. That range is about the weight of one kernel of RL16 (.030 grains). What I've found is that with the CM, 5 of 10 charges will be fairly close (within .05-.07 grains), 3 of 10 will be around .1 over/under, and 2 of 10 will be .2 to .3 grains over/under. Occasionally I'll get one that is .4 over. Using the CM only, my SD has been running 8-10 with this or other loads (which isn't terrible), but never lower. Using the Sartorius, my SD is down to 4.8 and ES is around 17 fps measured over 30 rounds. So yes there is a big difference in accuracy and consistency from load to load. Now I'm confident that the charge weight of every round is within the weight of 1 kernel of powder.
Now whether or not that makes a real world difference on target is a different question. I guess it depends on what you are shooting at and how far away it is.