The death knell of the 30-06 in NRA match rifle competition started at the 1964 Nationals when Mid Tompkins was the first to use the 308 Win. Over the next 3 years, all the match records were broken. They used to be held by the 30-06. Only thing that changed was the cartridge and barrel chamber. 600 yard test groups went from about 6 inches to under 4.In the course of testing hundreds of different guns, all of the same make and builder, differing only in caliber, there was one thing that jumped out; size does matter. In short, the smaller the cartridge, the more accurate the long-run average of multiple guns. A 30-338 was more accurate than a 300 Win Mag, a 30-06 was more accurate than the 30-338s, and the 308 Wins were more accurate than the 30-06s. The same thing held true over a wide range of bore sizes and a large number of different cartridges.
3 years later, scoring ring sizes through 600 yards were about halved as too many unbreakable ties were shot.
7 years later, Mid Tompkins shot some 10-shot test groups at 600 yards with his 308 that ranged from about 3/4" to 1-1/2". Then put 40 inside 1-15/16".