The root washers say that by removing all media that the sapling was grown in will give the roots more "incentive" to move into the native soil and thus it will establish quicker.
Whereas the anti-washers say you are slowing the establishment by washing away the helpful microbes as described in the article.
Then there are the people who say, DO wash the roots, but save the water. Plant the tree bare-root, but fill the hole with 50% of the saved water, and use the rest to top-water over the next few weeks. The idea is to get the benefits of bare-root planting along with saving the beneficial organisms.
The reason I ask is that my yearly tree just arrived in the post and I've yet to put it in the ground. I'd love to know what the current thinking is.