After my father died suddenly, a number of people (during shiva & afterwards) asked intrusive questions. My sister, who is one of the smartest & nicest people I know, told me that people ask questions like that after an illness or death because they want to reassure themselves that the same sort of thing won’t happen to them. I think she’s right, & knowing this made the questions a little easier to deal with.
It is natural to feel worried after hearing bad news. But it’s not the responsibility of the availim or someone suffering from an illness to provide reassurance to others. People should talk to friends or a rav, and of course daven/ say tehillim, if they are worried about what will happen to them.