Now those of us who have had the pleasure of studying aggregate economic indicators such as GNP understand that these things are far from perfect. They are necessarily compromises that may have some value when properly interpreted. Too much reliance on any one indicator is almost certainly a mistake. However, when an indicator is deliberately designed to obscure what it is nominally supposed to reveal, then we cross a line from an imperfect tool to deliberate deception. And that is what we find with the unemployment rate.
1. In contrast, there may be areas where the government does have integrity. For example, I have noticed and believe that when the US Government issues a terrorist warning, which is generally a vague statement that some sort of attack may happen in some area (e.g. W. Africa) that they only do that when they have genuine information that something might happen, but not enough to be able to stop it, or to be specific. In other words, I am accusing the US Government of integrity in this area. Other people believe that the government does this to manipulate public opinion or the results of elections, but I don't think so. Anything in the area of intelligence can be confusing to the general citizen outside that community, but I have to admit that trusting them in this area, but not trusting them in others may not be totally logical, or it may acknowledge an important fact: our government is diverse and one part is not like the other. The FBI is not the NSA, and so forth.
3. I call someone homeless if they are living on a friends couch or in a spare room but could not afford rent if this couch were not made available. Then I call someone literally homeless if they do not have that couch, but are living on the street.
4. It may be that an indicator that may include such long term unemployed is the Social Security disability system. If so, this is a very imperfect indicator, although I know that some people have found it a useful metric for this.
Bureau of Labor Statistics