Regular crisis, sure, maybe. Depends on the situation, as always. Crisis involving blood coated walls, extra-dimensional abominations, and beings that have zero need or respect for organic life? I'd be terrified too. Cult is, for the most part, the one round type where I don't mind heads of staff wanting to avoid conflict like the plague; especially if the cultist is powered in droves. The only heads I believe that shouldn't do that is Captain and HoS due to loyalty implant and being the ones that this round type hinges on.