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I have owned 6 M1's in my life. One is a Springfield Armory NM commercial rifle (7,000,000 serial #) that I could never get good accuracy from. I decided to have it rebarreled and rebedded and it still doesn't shoot worth a damn. Things that make you go hmmmm.
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Mine is a Springfield Armory rifle (S/N 24XXXX) from the DCM. I love shooting the thing, I just wish it was a bit more accurate - OP's ten ring accuracy would be fantastic.
This is yet another instance of relatively small improvements from reloading tweaks getting masked by a larger, overall error in the shooter-rifle-ammo system. I could not find the improvement from a true match grade bullet because it is masked by a rifle that is somewhere in the 4+ MOA accuracy range.
I have had several respectable shooters to shoot it, all with the same outcomes - shots off call; all over the black.
You have to have a "balanced" system - good reloads, good rifle, good shooter. If you already have truly good reloads and a truly good rifle, you can improve the shooter at the fastest possible rate. Crappy mil surp ammo or a crappy rifle are sure ways to frustrate a new shooter. Personally, I wasted about 2 years trying to make the M1 shoot well. I had fun but made zero progress.
The most important tool I have to demonstrate the differences my reloading methods make is my match rifle.