The first part, in the eyes of most older people, a man is not supposed to be emotional or give into their more “feminine” feelings. This means they don’t want their wives or children to be the ones that hear the things that concern them or probably scare them, deep down. Most of the stances of conservatives seem rooted in fear, not reason.
The second part is that you are another man, a younger man, and because they don’t know you well you are less risky to tell these things to. They can confide their fears in you because you are a young man, with a life ahead of you and you’ll give them an ear even if you don’t intend to. Really they are probably hoping someone will hear them even if they can’t really pour their hearts out.