Well, technically not quite true..
After about 4 months, JLC have finally sent me the E Coindre limited edition no. 3/20, to replace 17/20, which had gone back for repairs.
So far everything on this one seems good: the chrono is registering properly and the 24 hour ring is perfectly aligned, so I'm keeping my fingers crossed. The only thing I noticed was that the signed documentation was missing, so I hope I can sort that out. Inspite of the problems, it really is a magnificent watch.
-Anthony