You may be right, but reality is the majority of people take the official unemployment rate without even understanding what qualifies as unemployed.
Even commenters on hackernews, that I would say are far from being the least educated in the U.S are asking, despite the article explaining it, what counts as unemployed.
The article is educational, and revealing. What we make of it is up to us, if you deem the less than 10% employment rate more accurate, you are free to believe that. Even when it defies the common sense of many.