Like you would enjoy added needle noise in your music? or pixelation in your games?
For example the surface detailing on the Star Wars ships can be viewed as a type of noise as they are not really representing anything of actual engineering, but rather are aesthetic addendums selected from a preset set of visual components.
The mathematical space for animation frames is of course different from that of a surface of a static 3d shape, or music, but the philosophical concepts are analogous, I think.
Perceptually - how human brain interprets them - there are of course larger differences.
But all in all, visual arts, music, regardless of the mathematical domain (space, time, volume) artistically used noise is not just a pathology.
I'm no luddite when it comes to modern animation; there is an absolute deluge of modern animation that I love. Most if not all of it would have been impossible with traditional animation techniques.
But as for the charm of traditional animation, the "charm" of those visual imperfections wasn't the aesthetic value of the imperfections themselves; it was the slight breaking of the "fourth wall" and how it reminded me that human beings physically arranged and photographed every single frame of animation. Digitally faking those imperfections would be silly to me.
As for something like artificial film grain noise in Hollywood, I suppose that perhaps some people love the fact that it reminds them of the physical filmmaking process. For most others I suspect it's a purely visual aesthetic charm, that is indeed ripe for digital replication.
Art is subjective (always a dangerous thing on HN) and I won't say anybody is wrong if they feel otherwise about this. However, it would be objectively true to point out that the appeal of "analog imperfections" goes far beyond their face-value aesthetic appeal for many.
I will argue a bit for the value of noise (visual or auditory) of causing you to stop processing each individual element and accept them as one whole though. I don't think that argument applies to pin registration shake on film animation, but if every element of a mix were perfectly dry it would sound unrealistic (even live, arguably the highest fidelity of music for this argument, has room characteristics).
Regarding hollywood it was originally a way to make the CG elements and live-action elements actually blend. Once they went all-digital it didn't make as much sense.
I didn’t grow up with those things so it is neither nostalgia or being “retro”, I like things that makes the consumer’s eyes and ears search
The entire “Lo-Fi Beats” niche-genre and it’s popularity would indicate that people do in fact enjoy that.