Anecdotal:
I haven’t seen a dead hero trigger a talent (other than Fighters, where it’s by design.)
UI/Game Logic:
I think you’re asking because you’re thinking about tiles “assigned” to dead heroes.
Think about Defense instead.
Would you imagine that a wound could randomly be applied by a dead Barbarian on Defense? That seems hard for me to believe would be in the design of talents, so I assume it wouldn’t happen on Offense either.
You seem to agree.
So I guess the question is why would other talents work differently? How would damage buffs work on Defense for a dead hero?
I took this to mean the effect was triggered before the hero died. So in that case it would still last the duration of the effect even after the hero has been killed.