The stock Genesis tweeters mounted on the black plastic plates are the newer, slightly improved versions of the older ones mounted on masonite.
If you checked out my link, you'll see that mine are the ones with the plastic plates, and boy do they sound amazing too! They're one of the very few tweeters I know of in existence that safely reaches all the way down to 1.8kHz and sound great doing so. The top end sparkle is equally impressive. Extremely smooth, natural and detailed.
You'll also notice in my link that my Genesis II's are the older, real wood ones. They were also already re-foamed by the previous owner.
Even though the old original crossovers were still functional and allowed the speakers to still sound good, getting all new components and wiring really brought these speakers up to a completely new level. I even went as far as to replace the terminal panels with nice solid aluminum ones and very nice binding posts. I also decided on getting new inductors instead of using the originals. This way, not only am I now using much better parts, but the stock crossovers/panels are still 100% complete.
One last thing to note, on the original crossovers, I noticed that each crossover used different capacitors. Kind of odd but apparently that happened a bit with these speakers as I've read about at least two others that were like this as well.