Is there anybody who makes significant use of hardcopies anymore?
Yes. We're called "lawyers," and nearly everything we submit to the court in my jurisdiction (Oklahoma) is done not only on real paper, but in triplicate at minimum (one for the Court, one for me, one for the other side; more if there are multiple parties, if the judge needs his own copy separate from the court file, etc.). PACER is all electronic in the federal courts (though some things still have to be retained on paper for audit purposes, such as bankruptcy filings), but e-filing hasn't come to my state system yet (we have one county, out of 77, working on a pilot program right now). Print, sign, make 2+ copies (I love my auto-stapler), have the clerk file-stamp all of the copies, and mail or FAX them to the other side. For pretty much everything we do.
Contracts, though not filed with the court, are done on paper. Wills are done on paper. Deeds are done on paper.
Paper isn't going anywhere.