I have no idea what Copenhagen smells like, but I haven't found anything else that comes close to DF scented. I just always think of the flavor as "cosmopolitan," not floral nor dead grandma panty-ish nor anything else that I would normally associate with Lakelands.
I may have to check out Copenhagen, just to get an idea of what it smells like. Maybe you're onto something.
I think the unscented version still has a little of that essence also, but tends to go away soon after lighting the pipe. The scented version does seem to make me queasy faster than the unscented version, but I've always attributed that to whatever chemicals are used for the aroma.