Tim: Remington is one of the few major outfits that still makes their own barrels in house. They use WWI and II rifling machines.
I was told this by Mark Gurney of Ruger as Ruger makes the majority of barrels for the rest of the industry. Ruger does hammer forging but the chamber is not part of the rifling procedure. The chamber is reamed after the fact as a 30 cal barrel blank for example could be used for a variety of cartridges.
I have reamed quite a few holes and I am fully aware of ways that a reamer can go out of alignment with a hole, but the shape of a bottle neck style reamer is going to help it go into the hole strait, and is going to require a significant amount of "I don't give a ship," to alter its path very much.
What I could see as a real possibility, is chambering a barrel blank where the bore is off center to the OD and when then running the reamer hard up with no floating capability. The reamer would still "try" to follow the hole but would be forced out of concentricity by the off center hole and as such would flex and bore one side of the hole wider than the other side. Thus would be at its worst at the throat.
OK,,, you talked me into it.
Randy