Although "Home Burial" takes place mostly in dialogue, this couple sure doesn't do a whole lot of communicating. At first, the woman will hardly speak to the man at all. Then, when she finally opens up, he hardly listens to what she says. In other words, this poem isn't a conversation; it's a fight. In that sense, it's as much about the communications between this husband and wife pair as it is about the events in their lives related to the poem.
In this poem, the reason the husband and wife are fighting is not that their kid's dead; it's that they don't actually know how to talk to each other.
Some of the problems that this couple has communicating are caused by their views of the opposite gender as a whole, not just the other person.