The most accurate factory .308 I've encountered thus far was 170 gr Lapua. Whatever the cost, its worth it. By weight, these rounds are clones of one another.
Assembly of handloads is not what takes the time. Prepping the brass takes time and when accuracy is the goal, there are extra hoops to jump through. I uniform all of primer pockets and flash holes regardless of the end use. I think these steps makes all of my ammunition just a little better. But when accuracy loading, cases must be sorted by weight, then by neck thickness, then by neck runout. Sometimes run-out is checked after each major step in the loading process; before sizing, after sizing, and after bullet seating. Necks are annealed after each firing. Cases are resized in a bushing die and I neck size and set back the shoulder in two individual operations. Bullets must be sorted by weight. Primer seating depth is measured. Die is used on the case shoulder to help set the sizing die for a precise shoulder set back. Case mouths are carefully trimmed in my Giraud for uniformity. Bullet meplats can now be uniformed, although I don't do this yet. Run-out of the loaded round is checked, and sorted into the practice or the accuracy box.
I can spend the best part of the day getting 50 good rounds, but the results are usually worth while. I marvel when I shoot a group in the .1's, or get a first round hit on a clay bird from 1000 yards and I am depressed when I shoot a 2" group because I wasn't focused on the job.