Yet without video many terrible crimes would go unpunished. What else do you propose?
Let's not just establish a new proxy for implicit trust here.
The fact that you can't imagine – and I don't provide – any alternative proposition does not make implicitly trusting video a good proposition.
But, yeah, I suspect reality will probably disappoint us both...
We'll need to deal with video the same way we do with images, audio, and eye witness accounts. The way to do that is to establish a measure of trust in some quantifiable or methodological way, rather than just trusting the medium.