You say you have two options with that page - doing it as a quiz, or teaching English. I would add a third option - not doing the page, if you feel that doing it swiftly and as the writers and designers seem to have intended you to will not, in fact, teach much English and would just result in the students "going through the motions".
But as it is, you have elected to "teach" what is on the page, and in the process, you seem to have made it become much more of a "quiz" (of the native speakers on Dave's, if not yourself and your students!) than was perhaps originally intended by the writers. Probably the complexities and pragmatics of question forms using DIE were not a consideration of the writers (beyond "When did HE die?"), or, if they were an option, it would've been nice if some guidance were included in the textbook itself. As such guidance seems to be missing, however, I think we just have to presume that the writers didn't want to tie themselves up in knots at this stage explaining the pragmatics of the whole social notion of death.
I actually think it is great that you are asking these kinds of questions, it shows that you are ambitious for your students and are thinking beyond the book, and there is thus the chance that they will do well. But I also believe that you would need to think up quite a wide range of phrases and contexts (more than even metal has thought up there), and from them perhaps several activities, to do the subject (of death and its social "niceties") justice. I appreciate that asking native speakers is only a first step, I'm just saying, there could be a lot of work ahead once the discussion on this thread fizzles out (not sure if that is likely now that you and I are having a pleasant little "discussion"!
