You raise some good questions. I don't think I explicitly advocated for or against inheritance of property, although I believe that in a free society, a person should be allowed to give away their possessions to whomever they choose, before or after death.
But let's try to stay on topic. A property owner is entitled to earn as much or as little from his ownership as the market will bear. If there were a sensible way to define property in the digital sense, then the same would apply to digital property owners. Unfortunately, because copies of digital works can be created at virtually no cost (unlike real property), normal physical markets cannot be applied to them, lest we come to the inevitable conclusion that, by the laws of supply and demand, the price for a digital work will tend rapidly to zero. Who is going to pay for an item that is (potentially) infinitely abundant?
Since you and I both see intrinsic value in many digital works (I like to watch TV and movies as much as the next guy), I think we can agree that such works cannot be treated the same as physical goods. So far, attempts to monetize digital works have mostly revolved around turning them into physical objects (CDs, DVDs), or using encryption to enforce the creator's will over every copy created, or both. These avenues of monetization are forever destined to fail in a free society, because people in such a society are free to communicate with each other, and that includes digital files.
So where does that leave the digital creator who wants to earn a living from his works? I believe that trying to turn digital works into widgets that can be bought and sold is the wrong way to go. Unfortunately, I don't have a satisfactory counter scheme that is fair to all involved, so I'll just leave it at that.