Except the characteristics you have already mentioned, I cannot see any other similarity between these two scents. Firmenich is behind both scents but I do not think that it is really relevant.
However, I am very glad that you used term “wet”. Namely, whenever I smell Encre Noire this is the first expression which comes to my mind. Many people say that Encre Noire smells just like the ink (yes, yes, I know that “encre” means the ink and that the bottle was inspired by a 1913 Lalique ink pot), but, to me, it smells like wet vetiver.