He would be in charge of something ridiculous like Damage Control on the Defiant, and essentially be there to tell the crew that they were all gonna die horrifically whenever Sisko called for a damage report. DS9's version of Marvin the Paranoid Android.
Or someone like this officer?
"The black hole's EXPANDING
. We won't reach MINIMUM
safe distance if we don't leave IMMEDIATELY
Several minutes later, the ship casually eases out of orbit in complete safety.