From the first link:https://www.ssusa.org/articles/2018/2/1/tips-on-how-to-duplicate-1950s-era-30-06-m72-match-load/
and click link on page, for more than you really want to know .
https://apps.dtic.mil/docs/citations/ADA570469
Changing bullet type and brand is the quickest way to better accuracy.
The exact same bullets accuracy may change from lot to lot.
"In the last few years of production, M72 could reportedly group just over two inches at 600 yards (I don’t know, but this was perhaps fired from Winchester Model 70 custom match rifles). "
Another fable about 30-06 M72 match ammo.
It's best accuracy at 600 yards in bolt action match barrels laying in a Mann rest was about 2" mean radius, 12" extreme spread. Bullet quality varied across 3 or 4 machines making them for one lot of M72 ammo. The best Garands shot it about 15" extreme spread.

Rebulleting M72 ammo with a Sierra 180 HPMK resulted in about 6" to 7" extreme spread in bolt action custom barreled match rifles. Repowdering with IMR4064 with that bullet could yield 5" extreme spread at 600.
Nobody ever put 20 shots in a prone match at 600 yards with a 30-06 inside the 12" tie breaking V ring. Record was 100-19V, as I remember. That finally happened when the 308 Win was used starting in 1964.
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