This will just create a black market for AI generated video content that doesn't have a signature. Which I'm sure that China, Russia, hell even the US governments would not have a problem with because that would be extremely useful for them.
Honestly - not gonna be feasible to sign things that are not AI-generated. For example, my friend's phone uses generative AI for the insane zoom capability it has - so every photo my friend takes would not be able to be signed.
And this is the crux of the issue - we are beelining to a world where EVERYTHING gets an AI filter in front of it. In a few years there will be no authentic content at all.