Hi @Tshwayder - there are a lot of variables here but in general, this is a case where you must use the most stringent requirement so that you meet all requirements of the building code.
If your occupant load only requires a 36" stair width, but your project doesn’t meet the exceptions listed in IBC 1009.3.2, then a 48" wide staircase between handrails is required.
In your second example (IBC 1014.9) you just need to provide an intermediate handrail along the center of the stairs. This is done often on wide staircases.