2. Private property is a false analogy
3. Copyright was established for two reasons: a) to let the author (and only the author) to profit from their immaterial work. b) to facilitate the free exchange of ideas
Are his children entitled to every piece of furniture this "dad who wielded a hammer" ever built? As it was already mentioned "The dad who wields a pencil" can just as easily buy a house and leave it to his children.
The problem with immaterial things is that they can be trivially copied. In this sense copyright law is more akin to patents: you get protection and possiblity to profit off of your immaterial work.