I've mentioned before that to me it would depend on the purpose of the handloads and the "resolving power" of the rifle/scope/shooter combination.

I've shot many rounds of Lake City match ammo, not 30-06 but 7.62x51. This was both M118 match (not M118 special ball or the newer M118LR) and M852 match. Several lot numbers and vintages of each. I disassembled some to check out powder type and charge weights. The charges were not nearly as consistent as what a lot of handloaders assume is necessary to get the best accuracy from their deer hunting rifle. I found that the best shooting batches had the least runout. The M852 generally shot better than the M118, the M852 being loaded with Sierra Match Kings rather than 173 grain boat tail fmj bullets.

I've loaded thousands of rounds of 308 with thrown charges of IMR 4895, 4064 and 3031 and never had any trouble getting well below moa for five, ten and even twenty shot groups with rifles capable of the same.