Sorry, I had several deadlines and no time to write a long explanation. I thought maybe you just missed that code section.
The IBC Code and Commentary offers Section 705.8.6 for vertical exposure situations. However, the reference to Section 705.8.6 is not directly made in Section 1023.7 other than "shall comply with the requirements of Section 705 for exterior walls." Further, the Commentary does not explain how Section 705.8.6 is applied in this particular situation since the stair is within the same building and Section 705.8.6 applies to two or more buildings on the same lot. If the building has a 1-hour roof, the section would not apply (Exception 1). Also, if the buildings are considered as portions of one building, the section would not apply (Exception 2). If the stair is part of the same building, by default Exception 2 should apply every time. Therefore, this reference in the Commentary is nonsensical (in my opinion).
Therefore, my interpretation is that if the roof has a 1-hour rating, then the situation is moot, and you should treat the exterior walls of the stairway enclosure according to their fire separation distance. Otherwise, as Section 1023.7 states, provide 1-hour protection of the roof (with 3/4-hour openings) within 10 feet of the unrated walls or provide 1- or 2-hour construction (as appropriate) for the stairway enclosure (with protected openings) up to ten feet above the landing.
Some may say Section 1023.7 only applies to walls, but, as you pointed out, it states "exposed by other parts of the building at an angle of less than 180 degrees..." The roof is considered a part of the building and would be less than 180 degrees from the stairway enclosure walls.
(FYI: I used to interpret this section as meaning once you are above the roof, the walls are treated as exterior walls only according to Section 705. A plan review comment changed my mind when I could not defend my position.)