Depends if you are shooting for hunting purposes or precision target purposes. I got a McGowen Prefit that holds sub half MOA with the majority of factory ammo I've put through it. I'm still making final tunes to my hand loads that's on pause till I get home. Most of Savages factory barrel are capable of this with handloads from all the experiences I have read on this forum on less there was a legitimate issue with the rifle rather it was the mounting of the optics or free floating of the barrel/tang of the action.
It also depends if you will be shooting long strings in a short period of time as then barrel heat becomes a factor in maintaining accuracy. Really you have to explain more of what you are trying to do. I've seen guys make 500-600yds shots with a factory Axis in 30-06, but they weren't going to do it 20 times in twenty minutes without the barrel getting so hot that you had no idea where the rounds would go.
Most barrels done by a reputable smith or company will do what you want them to do though.
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