It is. I think it's necessary in this case - it's used as a mechanism to distinguish it from the credits, which are being displayed at the same time (e.g. [1] from the next shot). The typing noise and animation causes the audience to pay attention to it, even if they weren't paying attention to the credits.
In most other cases, it's just foley - audiences expect to hear futuristic computer-clicky noises to accompany their space-text, so it feels weirder to leave it out than to leave it in.
It's certainly context-specific. For me, OCR-A letters look like THE FUTURE, but the numbers frequently trigger the "oh, how quaint" response you seem to be describing.
Lots of video games do that for dialog if it's just printed on the screen and there's no voice track.
"Moon uses an interesting angular typeface for its location-establishing shot... This typeface is OCR-A, which was designed in 1968 for use in optical character recognition systems.... Moreover, it looks like THE FUTURE, and so it makes a perfect choice for on-screen interstitial positioning shots."
OCR-A does not look like THE FUTURE; it looks like the future in 1968. To me, it looks like bitterness and cynicism. Apparently, it looks that way to others, too, since it or something similar is used in the same way for every other similar movie.
I haven't seen the movie. Is that message typed out on the screen, complete with teletype noises? That has to be one of the weirdest anachronisms ever adopted as a trope.