You're pushing a (bad) technical solution to a social problem.
Cameras that cryptographically sign their output will not solve anything. The idea has more flaws than it's possible to list, but here's a big one: do you really think a technological gimmick like that would stand up to a nation state? Do you really think the CIA, NSA, FSB, Chinese Ministry of State Security, etc. will not be able to sign whatever the hell image they want with a camera's signature?
Or you could just smear some Vaseline on the lens and tell people the lens got dirty. It hurts the credibility for anyone who knows about these cameras but I doubt the public would think about it that much.
Also, how to protect a chip from reverse engineering even from all except "top actors"? I remember the price for reverse engineering of certain ICs was between 5 and 7 figures of USD. Don't know about modern IC processes, but it may be affordable for many even for those?
Cameras can record screens.
Perhaps adding a signed channel for depth and/or non-visible light would be the next step.