I'm not a copyright lawyer, but it seems pretty clear to me you can't wash a license using an LLM.
[US jurisdiction]:
Anything in the result written by the LLM can not be copyright by anyone.
Anything in the result written by a human can be, and if it was all emitted by the LLM then that portion originally written by a human carries its own copyright.
As a work of an LLM, the entirety presumably can not be copyright, at all. Portions written by humans presumably carry their original copyright.
[US jurisdiction]: Anything in the result written by the LLM can not be copyright by anyone.
Anything in the result written by a human can be, and if it was all emitted by the LLM then that portion originally written by a human carries its own copyright.
As a work of an LLM, the entirety presumably can not be copyright, at all. Portions written by humans presumably carry their original copyright.