First I'm assuming this is a basement access? And for that I've never seen a light in a bulkhead entry.
Will this entry be part of a normal public entry into space? Usually not a bulkhead. Is this the sole entry into the space? Or like most just an exterior supplemental access into a basement. Is it an emergency egress? If so lighting might be appropriate. If none of these apply I would say no lighting would be required. At most I would like to see, if it is a secondary access, is a 3way switch with the primary entry lighting switch for the interior space. Again never seen it required.
Guess nothing says you can't add lighting, but where would you putting the upper switch? You could put a pressure contact switch that when the door opens the light comes on, just not sure it comes as a 3way. If exterior exposed, a weather resistant enclosure and switch would be required. And a fixture in the bulkhead area internally, I think it would require protection from incidental contact damage.
Never had an inspector require a light in a bulkhead entry. At most I've seen in commercial applications (sometimes it is a loading zone) is as part of their exterior area lighting, a fixture directly above the bulkhead at same elevation as the rest, that comes on with the rest of the exterior lighting. And a switch for interior lighting just inside lower door.