If anyone would like to experiment with the first sound in that little demo I uploaded, here it is:
B021 SN THORHAMMER.syx (207 Bytes)

The difference is also quite clear on this one.
Interestingly, this patch sounds similar in pairs: BD/CP and SD/RS.

I can trace the issue (at least for this sound) to the LFO page; specifically, the multiplier. I have to change MULT to .1K on CP and BD to get the same result (MULT = .512) on SD/RS.