I would refuse it. A rifle cannot possibly shoot well with an oversized neck.
al
Well, maybe. Couple of things. The first thing I'd like to point out that is to a benchrest shooter, a .340 neck for a .308 is oversized to start with. With a .340 neck, you'd need case neck walls of .015, and a die that sized the neck to .338. Oh. And necks that are even in wall thickness.
Secondly, I shot a .223 Factory rifle at our winter league. In one of the four matches, I would have placed top five shooting against the bench guns. Of course, that was at 200 yards & a windy day, but it was competition, and some darn good IBS score shooters were there. (Probably not with their best barresl, though.) Anyway, the neck on this factory barrel is .010 over.
Thirdly, this is a factory rifle. If the man expects significant accuracy improvement by fixing one "problem" (the neck diameter of the chamber), he'll probably be disappointed.
* * *
As to whether to keep the barrel or not, that is a tough one. I'd break it in, say 25 rounds, & see how it shot. If it shot well, I'd keep it. If it didn't, I'd send it back & hope they would replace it (in spite of that little bit of wear). That would let me get another free try at a good barrel.
The only thing is, if the reamer really did have a .340 neck, and the chamber cut a neck diameter that was at least .004 over that, it probably isn't a very good chamber -- The body will be at least .004 over, too.
Most of us on BR Central *Centerfire Forum* have played with factory rifles & found them lacking for our sport, & moved onto custom rifles. There are just too many potential variables in a factory rifle to come up with a recipe for fixing it. Replacing the barrel removes a bunch, but it would have to be a benchrest-quality barrel/chamber, with all that implies. And even with a good barrel, remember that the "badness" is the sum of the reciprocal of ALL "bads":
1/total badness = 1/badness(1) +1/badness(2) + 1/badness(3) + . . . 1/badness
Fix a couple; that is, drop them out, and you'll see total badness isn't affected much. Try it.
FWIW