I guess it depends. While I prefer guns that were actually built by Lancasters, I wouldn't shy away from a gun with Lancasters name(or anybody elses name) on it that was built elsewhere if the quality of the gun itself was good to excellent. Questions to ponder would be, what is the overrall quality of the gun? What type of action is it built on? Etc.
If Lancaster saw fit to put their name it, I should think the quality of the gun would be up to par, at least to the standards of "C" quality. I would call it a Lancaster. You dont call a boxlock finished and sold by Churchill a Webley & Scott do you? I dont.

Dustin