Butch,
Based on the wobble, I'd say both!
IIRC, Kevin Thomas wrote an article for PS about a tour of the Springfield Armory museum he went on, and describes the barrel straightening fixture they used back in the day. When fixtured in the device, the barrel pointed to a source of light, and the operator rotated the barrel and looked through the bore to spot run-out. He then used the device to put pressure on the high spot, working the bore to "eyeball" true. In theory, it worked much like Jackie's shaft straightener.
It would be interesting to check bore straightness on one of those barrels straightened by one of those old craftsman. I'd be surprised if they didn't run fairly true.
I think Savage straightened barrels in the same way. Not sure if they still do.
Justin