I think you've missed the point here: the noise in the originals acts as dithering, and increases the resolution of the original video. This is similar to the noise introduced intentionally in astronomy[1] and in signal processing[2].
Smoothing the noise out doesn't make use of that additional resolution, unless the smoothing happens over the time axis as well.
Perfectly replicating the noise doesn't help in this situation.
Smoothing the noise out doesn't make use of that additional resolution, unless the smoothing happens over the time axis as well.
Perfectly replicating the noise doesn't help in this situation.
[1]: https://telescope.live/blog/improve-image-quality-dithering [2] https://electronics.stackexchange.com/questions/69748/using-...