The whole premise of this story makes no sense. You have immortal beings that never get old or tired and they have no need to work to survive, and they wish to die for some reason. The only people I know in real life that want to die are those who are old or those who are tired from their work (and it will take them significant effort to change their work). I.e. it comes down to 2 things:
1) living in your body is not comfortable (old age, bad deceases, et.c.)
2) you are forced to do something you dislike to survive, and it is very hard or impossible to change it to something you like.
None of it applies to lunarians, so why they want to die is a mystery. "I am bored from leisure" is not good enough reason, as I have yet to see a person with a healthy body and free time & money to ignore work and do what he wants to just commit suicide.