A topic from AEG's L5R CCG Rules forum, copied for Oracle of the Void from a copy of the forum saved in October 2015, so pages it didn't save are missing. Players' names are left out; the rules officials are named. Rulings are as they stood on these dates; later rulings, the rulebooks and the Rules Archive may differ.
A player, 4 September 2015
Situation: Personality A (without printed conqueror trait) has Mounted Support attached. http://imperialassembly.com/oracle/#cardid=5417
Victory through deference removes conqueror.
Another Mounted support is added - personality gains conqueror
Second Mounted support is killed.
Does the personality lose conqueror?
Alex Jones (rules official), 4 September 2015
Situation: Personality A (without printed conqueror trait) has Mounted Support attached. http://imperialassembly.com/oracle/#cardid=5417
Victory through deference removes conqueror.
Another Mounted support is added - personality gains conqueror
Second Mounted support is killed.
Does the personality lose conqueror?
Firstly, please note that keywords are not traits.
However. Victory Through Deference negates the trait on the first Mounted Support granting Conqueror to the Personality. The second Mounted Support grants it again; when it is destroyed there is no un-negated effect that grants the Personality Conqueror.