I think Argent Knight's entry was written early on, before Burn did a tick of damage on hit; back then, the only way for Burn to inflict anything was waiting a turn.
Always happy to hear about different strategies for the bosses!
EDIT: Whoops, missed the last paragraph.
A lot of my early move events put Brill on the opposite move event, rather than in front of it, and I should probably make that consistent at some point.
The Dead Tree is on the World Map.