That stuff is also purposely put into music now.
I have this f.ex. which is just one out of many such products:
Softube tape
It can induce random sounding errors and you can sorta control how much or how audible it should be.
You could choose to use it when mastering a digital release to make it sound more analog, but perhaps leave it out when mastering for tape for obvious reasons.
For bum notes, midi editors f.ex. have simple functions like humanize which introduces random errors to make things sound more like actual performances.
So errors and how it can induce the appearance of authenticity and an aesthetics of its own is well understood by most. Ironically, there can be something fake about that.