And this is in the IBC. (underlining is mine)
- 1008.1.4 Floor elevation.
There shall be a floor or landing on each side of a door. Such floor or landing shall be at the same elevation on each side of the door. Landings shall be level except for exterior landings, which are permitted to have a slope not to exceed 0.25 unit vertical in 12 units horizontal (2-percent slope).
- - Exceptions:
- - - 1. Doors serving individual dwelling units in Groups R-2 and R-3 where the following apply:
- - - - 1.1. A door is permitted to open at the top step of an interior flight of stairs, provided the door does not swing over the top step.
- - - - 1.2. Screen doors and storm doors are permitted
to swing over stairs or landings.
Being as that "door" (as you call it) does *not* meet Exceptions 1.1 or 1.2, that Exception does not apply, leaving the requirement intact.