It may look similar in these high resolution pictures, but it’s different.
With dithering, there’s negative correlation between the noise added to neighboring pixels (if one gets a bit blacker, at least one of its neighbors is more likely to be made a bit whiter).
This adds Perlin noise. With that, I think that correlation is zero or, possibly, positive.
Random noise gives poor but fast results. Error diffusion is great but slow (pixels are processed sequentially).
My favorite technique is using a blue-noise matrix because it gives great results quickly. Creating the matrix is tricky, but you can do it offline and reuse it.