So far, I've found them very similar yet the PLL seems to be capable of yielding a keener edge, but it's pretty close. One advantage of the BS is that it costs less and you can get them in larger stones. I haven't had a lot of honing experience on either so someone who has learned both stones well might find them to be either more different or more similar than I have. I plan to do more honing on both to see how they compare as I improve on each.How does the Black Shadow stone differ from the French La Lune?