As soon as I read about the concept of "Area of Responsibility" I thought who dreamed this stuff up?
Anybody who thinks that the PF should be doing this:
The FCTM also specifically recommends that the PF retards the thrust lever during engine fire memory items. So theoretically PF will call for the Engine Fire memory items, after which he will disengage A/T, retard the thrust lever on the affected engine (after confirmation) and move the start lever to cutoff (after confirmation) -
potentially when hand-flying, needs their head read. If it's a fire, don't pull the throttle back quickly, that's all.