There are millions of Americans who have given up looking for jobs, because they are unable to find a job that pays enough for them to stop caring for their children/relatives/take time off schooling/pay for costs of working.
They are not represented in unemployment numbers (Because as it turns out 'I need to earn $25/hour to be able to afford daycare for the kids, but I could never get a job like that, and I've stopped looking') does not get counted in UE stats.
Putting those people to work would not actually make any of us better off... Yet it would reduce unemployment.
The point of my post was that jobs are not created equal. 0% unemployment because everyone is working jobs that pay very little is an unmitigated economic disaster. 30% unemployment because a smaller group of people are only working productive, highly remunerative jobs is an incredible economic success.
It does, however, raise the hackles on a few people.