Barrel Browner's comments about different barrels taking on different hues is what I have experienced. In general it seems the European guns are finished in a more "brownish" way, while American guns are more black and white originally. That said, I had a nice circa 1870 Scott with original finish on Laminated steel that was black and white. I think the author of the question , if he needs to refinish the barrels, should decide what he thinks is proper with the condition and finish of the rest of the gun. I think it would not be productive to "leave it up to the finisher " without the owner's input.
By the way, the Barrel Browner's pictures above seem to have a greenish cast to them. I am wondering if it is caused by the photography light. I have not seen that cast before.