I'm not sure if it's an alternative you'd consider, but you could also say that the two martial arts have the same name, with the SF version being pretty esoteric/mythical. From some admittedly cursory searches, Ler Drit (or Lerdrit or Lerd Rit) just seems to mean 'Great power' or 'maximum power' which is a pretty generic term.

As for the Sakura thing, I agree that she could make use of the Icon of Stone, especially as a counter to her weaknesses, I just meant that it doesn't seem to be a style that would really build on/maximize her natural advantages like it does Gryphon's. That said, if Ler Drit has that many branches, are there any other practitioners left out there besides Rose or Gryphon? Or is Rose something like a last repository. (Laura seemed awfully surprised that anyone else knew even anything resembling it).

(On a completely random note, I bet Sakura's just itching to learn the Ler Levitation bit. It seems just the thing to help her perfect that hurricane kick of hers... and with potentially hilarious results the first time she tries it.)