Idk, that seems like a difficult technical and political challenge, so I don’t think that’s very likely.
However, what I think is much more likely to happen is cameras detecting copyrighted content and not recording it. Or automatic instant takedowns of copyrighted content when the video is shared. Then, all the government would need to do is play copyrighted music when they don’t want you to record.
Oh wait, this is already happening [1] albeit not commonly or to an extreme extent. But really, this is why we need to be very careful about technological enforcement of laws. It can lead to unintended (or intended) negative consequences to civil liberties. And its also why its critical for your devices to always be acting on your behalf, and not for the government or corporations.