Interesting--there is an email address listed. Wonder what happens if you email your notification there? Presumably, if you do, you are in compliance with the statute, regardless of the no-email policy, so they would have to do the takedown.
When I had to fill out all my job paperwork for my new job, I used pdfpen on my iPad for everything, and it looks like it was written by a toddler in crayon.
It was an offer letter, not an application; and was sent to me on a Friday, and needed to be returned the same day (and I didn't have access to a printer).
It doesn't sound like he was filling out an application. It sounds like he had the job and was just filling out HR paperwork for benefits and taxes and such.