Am I to understand that this means the actual formula (e.g. 2-byte number) is the same but the numbers come from different places (e.g. date rather than title screen time)?
That I don't know. I think GoldenBanana might, though, as he researched RS a lot. He told me he didn't want to bother releasing his findings because people use emulators too often and it wasn't worth his effort to make something possible a certain way when there was already an easier one, but seeing as the times have changed, he may be able to offer more.
EDIT: Gosh, that last sentence was a mouthful; sorry :P