The chambering of the rifle has little to no effect on the accuracy. The cartridge on the other hand does.
What I meant by the above statement...
In referring to "the chambering of the rifle", I mean what cartridge the gun is chambered for. The same gun chambered in any cartridge will have the same chance at accuracy. Meaning if you handload for optimum accuracy, you'll find that all new Rem. 700, regardless of caliber, will shoot to close to the same accuracy. Close enough that in the field, or with the naked eye, you won't be able to tell a difference. But this doesn't consider the chance for a possible lemon. Withholding those, all else is equal.
When I said "The cartridge...", I'm referring to the actual breakdown of the cartridge. Everything from the brass to the bullet will make a difference. As little as 1/2 grain can drastically change the accuracy potential of a rifle and cartridge combination.
As proof to the latter, I have a Win. Model 70 in .300 WinMag. I continually try to find a better load for it, as I don't reload for it at the time. About 10 years ago I tried Fed. Prem. with the 150gr Trophy Bonded Bear Claw. Expensive ammo, but I tried it. With the first box, I shot 4, 5 shot groups under 1 MOA, from a rest at 100 yards. The best had four bullets touching with one flyer which opened it up to about 5/8 of an inch. Two days latter (store wasn't open on Sunday) I went back and bought 5 more boxes. Each of those boxes shot just as good as the first.
Well fast forward to two years ago, I was down to the last round or two. So before hunting season I went and bought another box of the same ammo (different Lot# of course, after 8 years or so) I sat down to shoot one group before the season started. The new box of ammo looked like a load of buckshot. It shot at around 5-6 inches at 100 yards. It was so bad I couldn't even gaurantee it was sighted in.
The supposedly same factory load, from a different Lot#, opened a sub-MOA gun up to a shotgun.
I'll stick by my statement that what the gun is chambered for has (a lot) less to do with the potential accuracy than the gun, the shooter and the particular load.
Wyman