I know I'm a little late to the party on this thread (okay, a lot late) but I just restores a set of Model Twenty-Fours and a set of Twenty-Four Series II speakers. These speakers are identical to the Model Twenty-Twos. As near as I can tell, the Twenty-Fours were simply Twenty-Twos repurposed and renamed for inclusion in the Model Twenty-Four compact stereo.
The difference between the two version of the Twenty-Four, like the two versions of the Twenty-Two, is in the crossover. The Twenty-Four has the same inductor and 4uF cap as the Twenty-Two and the Twenty-Four Series II has the same inductor, 8uF & 16uF caps and 3 ohm resistor as the Twenty-Two A. One other difference between the two types of Twenty-Four not found in the Twenty-Twos is that the Twenty-Four Series II has RCA plugs instead of binding posts.
After rebuilding the crossovers in both pairs, I gave each pair a careful listen. I found the Series IIs to be slightly smoother and more balanced than the first generation Twenty-Four so I redid the crossovers in the Twenty-Fours to Series II specs. They're quite good speakers and have surprisingly good bass, considering the size of the woofer.