Wraps are not offered in the catalogs I've got covering the 3 ply shell era. In the 1967 catalog they were "mahogany, natural maple, or lacquer finish only". Then natural maple dropped out and there was only ever a choice of "mahogany or lacquer finishes" in the catalogs from 1971 and 1973. No wraps. So if you use the O-Lugs approved "catalog correct" approach, anything wrapped isn't a Jazzette either. That might make them all special orders. As Kurt observes there seem to be a lot more wrapped ones than you might expect. So does that mean special orders weren't so special? Or that the details displayed in the catalog were always open to change? Does getting a wrap when they aren't offered mean that much more or less than getting a Jazz Festival snare instead of a Supraphonic? I certainly don't know. I don't have any catalogs post 1973 until 1980 (were there any?). By 1980 all bets are off because the Jazzette is now 12/14/20 in 6 ply shells! Twenty inch bass Jazzette?!? Clearly Ludwig weren't as strict about terminology as our friend O-Lugs.
Yeah, well, things are the way they are. If you focus only on the Jazzette, then there is no room for interpretation on the wraps, according to the catalog. Why do you think that Ludwig specified mahogany or maple ONLY if there was room for interpretation? After all, they didn't do that with any other kits that I know of. So, why be specific when it came to the Jazzettes? The world may never know? ;) What are your theories?
Also, yes, Ludwig changed to 20" bass drums later on for the Jazzettes. But that era tends to fall out of the range we generally refer to when speaking of collectible or sought-after drum sets from Ludwig. In fact, Ludwig has reissued the new Jazzette and it has different specs, too. I think we can all agree that the catalogs aren't the perfect reference, but what else are you going to do when you want a reference? Do you ask your friend, "Joe" down the street to define that? If not the catalogs for a reference, then what?
And, by the way, my two Jazzettes are both wrapped and thus not "perfect" Jazzettes...but I consider them as Jazzettes, anyway. I've only seen one, perfect Jazzette kit that didn't have some kind of funny thing going on. They are just very, very rare kits to find complete in the catalog configuration -for whatever reasons.