I'm surprised that nobody's fixed the arte names in Destiny and Eternia as well, actually!
I honestly believe that if a better translation of Destiny was released I might enjoy it this time around! =P
Hey, go easy on me if you're a fan of Destiny; Symphonia got me hooked on the series then I went back and started playing the rest from first released (officially in English and/or translation patches) to most recent, with Destiny being the only one that I didn't play through to completion.
Off the top of my head, for Eternia's arte-names: Sonic Blade is Demon Fang, Swarm is Sword Rain, Demon Hammer is Tiger Blade, and Demon Twist(?) is Light Spear (that one... actually took me a bit to recognize in 2D, unlike the others which I knew instantly). IIRC everything else is either a compound/more powerful version based on these arte names (Neo Swarm, Double Demon Hammer, etc) or has the same name in later localizations (Tempest, Quasi Seal).
In a slightly related note, it was nice the way that in spite of re-recording the lines for the cameo battle in Abyss (there's no doubt in my mind that that's Sam Riegel voicing Reid in Abyss instead of "unknown male voice-actor" from Eternia) they intentionally gave his artes the names from Eternia. It added to the "this is the same guy I played as in the other game!

" effect, you know?