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, 28 March 2013
Will Goju Kaxt's trait trigger when he is destroyed by Harsh Taskmaster/Deadly Orders?
Basically unsure whether "during" suggests an actual time window on Goju Kaxt's text.
Relevant text:
Goju Kaxt Other Ninja in this army have +1F. After an action resolves during which this card was destroyed: Create a 4F/3C/0PH Ninja Personality with your Clan alignment at any location.
Harsh Taskmaster Battle: Choose your performing Commander and target a Follower in your hand or discard pile: Attach it to him, ignoring costs. Destroy it before this battle resolves. You may take an additional Battle action.
Deadly Orders Battle: Choose your performing Commander and target your Follower: Give it a Force bonus equal to twice its current Force. After this battle's resolution, destroy the Follower.
Thanks.
A player, 28 March 2013
At the point Deadly Orders ends resolving, which is the timing point for triggering Goju Kaxt's trait, the follower hasn't been destroyed. Same with Harsh Taskmaster. Those actions won't trigger Goju Kaxt. "During" in Goju Kaxt's trait means exactly what you guess it means: that the destruction happens at some point between announcing an action and its resolution's end. If the follower is destroyed at a later point, not during an action's playing sequence, the trait won't be triggered.