It's completely feasible to have property rights in the digital economy. (See Bitcoin....)
Discussion
You are absolutely right.
Bitcoin is digital money that you can own.
Nostr is a digital identity that you can own.
Fanfares enables you to own your own digital media content and to sell copies of it.
As long as something confirms to the Austrian definition of property then it's fair game (pro-tip, this is why intellectual "property" is bullshit)