...and most humble of you to leave your own name out. The great Italian stringed instruments are generally known individually by the names of their most famous owners or players, or sometimes by a descriptive name, which precedes or follows the maker's name:
The "Messiah" Stradivari violin - no, never owned by Jesus, but considered the most perfect violin ever made, hence the name;
The Guarneri del Gesł "Alard" violin;
The "Duport" Stradivari cello;
The Montagnana "Sleeping Beauty" cello
...etc
Using the same system, your watch would become the "Lord Arran" Piguet/Muller/Gerber watch. However, I find myself thinking of it simply as the "Lord Arran".
As for debating the "most complicated", I think the "Lord Arran" wins because of the number of parts. However, VC can remain happy in the knowledge that theirs is the most complicated production watch. Congratulations to VC and I'd love to know the names of those two master horologists who are capable of assembling them!