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Maybe a warped plate , i would just make sure you maintain some free play in the cable and run it .
Some of the 2003 Stones had single plate clutch's. My 04 had a single plate unit and went out of adjustment just before it failed. Search single plate clutch and you should see some photo's on how to identify if you have a single or double plate assembly.
Don't have any suggestions for your issue. I have never noticed a Guzzi clutch lever pulsing. My HD does do that, but not so much a pulse. Hit the gas and the lever changes, hold gas stays put, off gas and the lever changes again. At idle, I guess it does pulse a bit. Supposedly, nothing is wrong, just the way some are?Tom