1028.2 Exit Discharge Width or Capacity
The minimum width or required capacity of the exit discharge shall be not less than the minimum width or required capacity of the exits being served.
So the width of the door at the point of exit discharge (door from shaft to exterior path to public way) is not required to be larger than the minimum width of any of the exit doors (doors into the shaft).
Where 1005.6 comes into play is most commonly exit access stairways, or where the exit discharge is at an intermediate floor. The other case that may apply is where you have occupants from the main floor entering the interior/exterior exit stairway from the level of exit discharge and combining with the egressing occupants of the second floor. If this is the case, then the combined occupant load should be used.