That's the most 1995 thing I've read all year.
What with all the smartphone apps which will provide you with PDFs of the casually snapped pics of whatever paper pieces you feel like shooting.
(In the unlikely case the gummint doesn't already have all the info you may need, and you can't just ask for a copy. Which is mostly the case nowadays.)
Lol true :) the main reason is when I have a big stack of paper that I want to trash but I'm not sure if any of it will be relevant down the road. It's a pain to go through each page and snap a picture, with a sheet feed scanner I just set it on there and push a button. The most relevant example I can think of is hospital bills - we had a baby last year and my wife was also in the hospital for an unrelated surgery for a few days, and all of the bills come on paper mail. It's nice to trash the paper and still have the record.