Well, first, I don't think I'll make it to the range and the parts will be here before I do. Second, the inside of the bands are milled to match the taper of the barrel, and so are direction specific. There is a slight "scrape" along the top of the barrel where the lower band was tapped into place. If it was reassembled that way and never fired, I worry (maybe incorrectly) that shooting might scrape more under the bands as the barrel heats up.
The older gentleman I bought it from said all he did was "clean it up", but never fired it...buying from another gentleman who used it as a target rifle and said it shot very well with the right bullets and loads. My guess is it was taken apart for cleaning by the last owner, put back incorrectly and forgotten about until he decided to liquidate at the show.
We are indeed blessed with many gifts.