Did you ever send the watch to JLC or a specialist for a restoration? I've been holding my Snowdrop for a few months trying to determine whether the factory's restoration service is trustworthy or whether I should seek an independent who specializes in vintage. My watch has a spotless dial like yours (albeit in Snowdrop form), and it's critical for me to retain all of that condition when service is performed.
Restoration, no. Service, yes. The problem with the service at JLC is that it is very long, and it may be expensive. BUT you have to do it if you are looking for some spare parts... [nt]