After reading the comments, I made the extra effort to get hold of a V16 to try head-to-head with the JJ HR I already had. (Thanks, everyone!)
I have two tenors, and (surprise, surprise) the best on one horn was not the best on the other. My Conn stencil much preferred the Vandoren - richer, fuller sound, no noticeable loss of projection (in the limited situation of playing in the living room with my family around), while the JJ sounded okay, but a bit thinner. My Malerne stencil, which is already pretty mellow sounding, sounded sort of muffled and fuzzy with the Vandoren, but nice with the JJ HR, which added more clarity and focus. I'm going to have to play around with reeds some more, though, too. Interesting.