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Given the asymmetrical nature of the total M1A bbl/receiver, those differences in bbl harmonics lefty-o mentioned really do come into play with this pltform.
Ideally, a bbl & it's attached receiver, plus the bolt, should be one lovely, dimensionally concentric mass, no ports or mag openings cut into it. This is, of course, impossible, but it's exactly why the BR (bench rest) guys use sleeved receivers (they add a tube over a commercial lighter-weight receiver in order to beef it up..), and they use receivers without a magazine opening in the bottom.
Then, they attach it to the biggest, honking-est (GI3 ??) bbl they can legally attach, and then they use a light-weight, small mass bullet in typically small low-bang target cartridges as the 6mm PPC or 6BR/Norma. It's known that the larger, hotter target cartridges like the 6.5-284 or Lord Help Us, the .338 Lapua or O M G... the 30-378Wby, all reduce inherent accuracy exactly because they "shake, rattle & roll" even a big stable BR rifle so much when you touch one off!
Those little plinker BR cartridges do not disturb all that accumulated mass very much, unlike when you touch one off your M1A/.308 rounds, which induces a lot of unwanted bbl wanderings, thither and yon! It's unlikely your bbl is pointing in the same direction at the exact time of muzzle exit, with significantly different loads. Which lefty-o and RAMMAC both mention.
You will likely have to make some re-centering notes on each load. The important thing would be, what's it's group size. You can always dial in some PoI corrections after all! Of course, it is nice when the PoI is at least close with several different loads. This is the sign of a good, consistent and stable rifle, but again, it's usually reserved for BR type guns.
Ideally, a bbl & it's attached receiver, plus the bolt, should be one lovely, dimensionally concentric mass, no ports or mag openings cut into it. This is, of course, impossible, but it's exactly why the BR (bench rest) guys use sleeved receivers (they add a tube over a commercial lighter-weight receiver in order to beef it up..), and they use receivers without a magazine opening in the bottom.
Then, they attach it to the biggest, honking-est (GI3 ??) bbl they can legally attach, and then they use a light-weight, small mass bullet in typically small low-bang target cartridges as the 6mm PPC or 6BR/Norma. It's known that the larger, hotter target cartridges like the 6.5-284 or Lord Help Us, the .338 Lapua or O M G... the 30-378Wby, all reduce inherent accuracy exactly because they "shake, rattle & roll" even a big stable BR rifle so much when you touch one off!
Those little plinker BR cartridges do not disturb all that accumulated mass very much, unlike when you touch one off your M1A/.308 rounds, which induces a lot of unwanted bbl wanderings, thither and yon! It's unlikely your bbl is pointing in the same direction at the exact time of muzzle exit, with significantly different loads. Which lefty-o and RAMMAC both mention.
You will likely have to make some re-centering notes on each load. The important thing would be, what's it's group size. You can always dial in some PoI corrections after all! Of course, it is nice when the PoI is at least close with several different loads. This is the sign of a good, consistent and stable rifle, but again, it's usually reserved for BR type guns.