I have heard the term gothic humor referring to the humor those that are around death, say as through their work, express. I think this is even more common with first responders, like Paramedics EMT's or doc's/ER nurses. Coping mechanism perhaps? or just not taking any of this life so serious. because it is so temporary here.
I am a nurse and have been with many end of life patients. I have always felt in as much awe of death as when I am present around the birth of someone. it is sacred somehow-being present- on either side. and I see others react a range of ways around death.
I am not sure there is any "one" way to approach death- your own, or the subject, or another persons, nor rights and wrongs about it. Our western culture keeps death in the background like it is this secret horrible thing. Some other cultures are open, children are included in end of life rituals- they see the body, they watch the burial or cremation. I see our society like having this neurosis when it comes to something so natural - leaves many people feeling so confused about it because we are not encouraged to look at what is.
just sharing random thoughts:-)