You're right that a *really* intense hand washer can beat the machine. But the key to the machine winning most of the time is in volume.
Here's one of the studies:
http://www.mtprog.com/ApprovedBriefingNotes/PDF/MTP_BNW16_2008February12.pdf In this one, they washed 12 place settings, or 140 items. The average hand washer used 63 litres of water (9 medium sized bowls, or 16 gallons). Obviously most of us can do better than that. In fact, in the study, the Germans averaged 46 liters (and the least amount of time washing up. Gotta give it up for German efficiency...)
Look at the graph for how energy use goes up in manual washing as the volume increases, though. You can easily beat the dishwasher with 3-4 place settings, but then you wouldn't be running the dishwasher full.
In my leanest attempts to clean a *full* dishwasher load, between sudsing and rinsing, I ended up filling the sink to the 3/4 mark by the end. I have a ten gallon sink, so that's 28 liters. Trying to be super careful with the water made it take about an hour. My dishwasher uses 15 liters and took me 5 minutes to load.
But maybe I just don't have Paul's fantastic technique.

2 quarts is definitely remarkable. I think a YouTube video might be needed!