How did Atari apply side art to Arcade Cabinets?

It really does depend on the thickness of the photo emulsion and the print ink. I've done silk screen prints where 20 prints were managed with little detail loss. The thing with the silk screens is that as a woven cloth, it's prone to slightly stretching with each pass of the ink, so the emulsion gets thin in spots rather quickly.

I would imagine that on the big industrial printers that are using a metal mesh screen and thicker emulsion, it's maybe closer to 50? Usually in a print shop doing a big run, there'll be four or five screens made for each print layer so when one gets worn, it's replaced in the printing rack. It really is an artform.

It can be, when the video is worth while. The embedded video here isn't what I'd call worth while. Someone shot a lot of video but not video that shows the process in detail. There's equal footage of closeups of 80s mustaches as the process. They are impressive 'staches though

Yes, screen printing, but there's more to it than those two words!

And the video in the post was sourced and uploaded by...the blog post author.

Also, let's be serious, that blog has been writing about arcade related things for over a decade https://arcadeblogger.com/2013/04/01/1814065/ and running a podcast since 2020, and the author wrote a book in 2020.

One could say he puts real effort into all this, you know?