No, and you raise a good point. Someone with a trust fund or other form of inherited wealth, or just with sufficient passive income, doesn't need to be productive. That person can claim as much leisure time as they want, when they want. So the argument the author of the post makes, that productivity is a necessary precondition for leisure, is really not true at all. In our society we may find that money and income are preconditions, but there's nothing inherent about the need for productivity to have those.