Quality custom barrels are still subject to the same thermodynamics as non-custom barrels.
If there are two rifles that weigh the same, and the barrels are identical to one another except one is thinner or thicker, they will shoot identical to one another until heat becomes a problem.
Really it is heat that is the deciding factor as well as the heavy barrel making you more steady.
So a thin barrel can shoot accurately, but if you shoot more than about 3 shots in a row, they will not keep up with a heavy barrel in regards to accuracy.
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