Do +% damage sigil/runes transfer to phantasms?
I was wondering the same actually because I added a Superior Sigil of Corruption to my pistol, but have not seen Condition Damage stacking with use of i-Duellist.
Illusions do not get a copy of your runes/sigils, but since they copy your stats they do benefit indirectly from runes/sigils that boost your stats.
edit: related thread https://forum-en.gw2archive.eu/forum/professions/mesmer/Crit-Damage-and-Phantasms/first#post492285
(edited by Effusion.4831)