New Moto Guzzi Door Mats Available Now
Sounds like you still have a voltage applied to the circuit/sensor when the ignition is switched off, something has broken.Need to start disconnecting things to try and track it down but I'd start with the rectifier/regulator, failed diode could allow current to flow via the alternator windings back into the rest of the system.Good luck as this could be a fun ride, Italian electrics design can be a bit "interesting"
Did you give the sensor insulator a good wipe, sometimes it's just current leaking across a dirty surface.
I looked for a 2006 Nevada among Carl Allison's drawings but this 2002 was the best i could find.https://www.thisoldtractor.com/guzzi007/schematics/2002_Nevada_series_2.gif but I don't think it applies.This shows regular Incandescent lamps which draw quite a bit of currentYou talk about printed circuits in the clocks which makes me think they may be more modern with LED type lamps.LEDs require much less current to light up, < 5 mA so it could be just tracking across the insulator.What I cut figure out, if the key is turned off, how is the light getting 12 Volts.Sometimes they have permanent 12 Volts on a microprocessor instrument so it doesn't lose its memory.