This fails to acknowledge that synthesized noise can lack the detail and information in the original noise . When you watch a high-quality encode that includes the actual noise, there is a startling increase in resolution from seeing a still to seeing the video. The noise is effectively dancing over a signal, and at 24 fps the signal is still perfectly clear behind it. Whereas if you lossily encode a still that disca…
Grain is independent frame-to-frame. It doesn't move with the objects in the scene (unless the video's already been encoded strangely). So long as the synthesized noise doesn't have an obvious temporal pattern, comparing stills should be fine. Regarding aesthetics, I don't think AV1 synthesized grain takes into account the size of the grains in the source video, so chunky grain from an old film source, with its big s…
That might seem like a reasonable assumption, but in practice it’s not really the case. Due to nonlinear response curves, adding noise to a bright part of an image has far less effect than a darker part. If the image is completely blown out the grain may not be discernible at all. So practically speaking, grain does travel with objects in a scene.
This means detail is indeed encoded in grain to an extent. If you algorithmically denoise an image and then subtract the result from the original to get only the grain, you can easily see “ghost” patterns in the grain that reflect the original image. This represents lost image data that cannot be recovered by adding synthetic grain.