I found that it even drove Groupon to conduct an iffy experiment: they "deindexed" themselves from Google for about 6 hours, finding that "Up To 60% Of “Direct” [i.e., referrer '-'] Traffic Is Actually Organic Search"...

super interesting, thanks Bob!  Added to docs: https://meta.wikimedia.org/w/index.php?title=Research%3AWikipedia_clickstream&type=revision&diff=20163440&oldid=20098423