I'm not sure. My feeling is that part of the power of the story comes from the disjoint between what is really a dystopian society and the humorous tone. This is, of course, inherently disturbing -- a lot of my students, for instance, complained that they didn't know whether to laugh at this story or not because it made them profoundly uncomfortable.
There's something more horrific in the idea that this character can be so completely absorbed into the coporate system that she doesn't even have a fleeting moment of discomfort about the parenting gun. And at the same time, the incident *is* funny. So it, ideally, evokes both a sort of twisted laugh and a feeling of disjunction.
This seems, to me, to be one of the primary goals of black humor.
DISCLAIMER: I know the author, and I saw this story in its first draft. I have, therefore, both a different investment in the story, and a different relationship to it, than other readers.