i find the premise to be an invalid one personally - why is the property that a works from an AI model must be identified/identifiable?

Video evidence of you committing a crime, for example, should be identifiable as AI-generated.

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how do we currently deal with tampered video evidence today, before the advent of ai generated videos? Why cant same methods be used for an ai generated video?

If you are interested, you can look into the work of Hany Farid on this topic as a good introduction to image forensics and related topics.

People want to know when they are interacting with AI-generated content.