I don’t know much about the long bodies - other than they’re the oldest Koetsus, and I’d guess that few if any would have the Platinum magnets, which were only introduced well after the later short bodies. I have a 1980s short body Onyx Signature with AlNiCo magnets, dated before the Platinum line; it’s been recently rebuilt by Koetsu to full modern internals, with the exception of keeping the old alnico magnets in place. I also have some of the current Platinum short bodies.
Though all of these sound unabashedly "Koetsu", there’s definitely a sonic difference between the magnet types that’s much more significant than the minor differences between stones (e.g. Onyx vs. Jade vs. Coralstone), and the difference in output level. The alnico model yields fully TWICE the signal vs. the platinums, surprisingly - perhaps it’s simply much larger in size.
The alnico Onyx has really come about with some burn-in, and is my current favorite of the lot (including a Coralstone Platinum). It has a little better depth in its image, a little more neutral tone, and a slightly more punchy/dynamic sound. The Platinum models, on the other hand, are a bit smoother and creamier/richer sounding. My rankings may change again when I switch from my Phantom Supreme to a Fidelity Research FR64S arm (soon).
The modern entry-level, Rosewood Sig, and Urushi use Samarium Cobalt magnets, which are different again from Alnico and Platinum. I’m not sure where Koetsu gets its platinum magnets, when other manufacturers seem to be unable to get them (e.g. Lyra needing a donor Parnassus to make a new Olympos).