I won't argue the noise point, but I will offer three observations.
1) Maybe it's just me, but I think of
dither as replacing non-random noise (is that an oxymoron?) with random noise. Is dither still a thing in signal processing?
2) In the 90s, there seemed to be a faddish popularity to adding some LP-record-style surface noise to pristine CD tracks - e.g., Sheryl Crow's
Riverwide.
3) The best-ever evocation of
old-school noise, arguably, dates back to the analog era... and...
the Monkees.


Magnolia Simms, in case the video isn't available in everybody's neck of the woods.
Only in recent years have I stopped to think how this 'effect' (noise + lo fi) was achieved. I am
guessing the basic track was recorded and cut on an acetate, and then the acetate was played a number of times, with some physical abuse in between. Needless to say, I've never tried to
unleash the power of the interent -- I reckon there're probably
making of essays, videos, and podcasts. Heck, Rick Beato's probably interviewed the cutting lathe!