Accuracy does demand consistency, but it rarely demands absolute, slavish repeatability in weights.
The most accurate load I ever put together in my .243, a true quarter inch load if I did everything right at the trigger, had a swing of nearly a grain in powder weight - half grain low to half grain high.
The big secret, I found, was tapping the ammo box, case head down, gently on the table for about a minute before shooting.
That compacted the powder to the same degree in the case.
I never sorted my brass by weight, I never sorted my bullets by weight. I did all of the standard prep actions, but didn't go out of my way to micro-debur the case mouth or anything like that.
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"The gift which I am sending you is called a dog, and is in fact the most precious and valuable possession of mankind" -Theodorus Gaza
Baby Jesus cries when the fat redneck doesn't have military-grade firepower.
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