Currently difficult to display something a modern smartphone camera will not be able to distinguish from real, right? (Pixel artifacts, lighting too consistent, etc. right?).
It might be doable with an 8k TV and a source video with a lens-distortion applied to generate the opposite expected lens distortion of the crypto camera, so once it's recorded the perspective does not look like it is a recording of a flat video. Depth sensors would help with defeating that idea.
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.