Well, to each his own, but when this "Barrel Break-In" fad first became popular, it sounded reasonable to me so I did it for a good long time. Never could tell any difference from what I had always done; clean the bore after every session.
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All I did was wear out a half dozen cleaning rods and develop an arm like a go-rilla!
Actually, the smoothest bore/easiest to clean rifle I have is a M-70 F'weight I shot a
bunch back in the day. Probably much more then any other rifle I own. It also was cleaned after every session. No matter how many rounds were fired.
Nowadays, shooting mostly Handi's, when I get a new rifle I work on the bore with JB paste some, then shoot it. Never shot one till the accuracy fell off.
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The bore usually gets cleaned for some other reason first. i.e. gonna be sitting in the safe for an extended period.
Do what you want, but I'm old...
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I'll save the time and effort I'd put into the shoot/clean bit and use it and the ammo I'd save and shoot it up in live fire practice!
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That's what I'ma gonna do with my brandy new 50-140 barrel and I can see the tool marks in that barrel's rifling with the nekkid eye!