This seems to be grounded in US law. Does anyone know if the same rules would apply in eg EU law?
Most of this is based on Copyright legal framework, which is surprisingly homogeneous around the world. The discussions about ownership of AI-generated material are exactly the same in EU.
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Copyright law kind of transcends national borders by certain international treaties like the Berne Convention. Which is why the US copyright holders could enforce their "woulnd't steal a car" threats in Europe.