"Most people who lose their jobs don't even qualify for unemployment insurance."
As you can see from my cut and paste of his quote (italics added), he cited a newsmax article. But that article lists several reasons why the unemployed choose not to apply for benefits. On this issue of eligibility, the article says that most UNEMPLOYED do not qualify. The reason is typically that the non-qualifying unemployed DID NOT LOSE THEIR JOBS. As the article says,
"Unemployment benefits are only available to those who lost a job through no fault of their own. ... Many of the unemployed are recent college or high school graduates who are now looking for work. Others may have quit their jobs, or they left work years ago to take care of children and are now job-hunting again. People in those categories make up 52 percent of the unemployed."
You would think that Mr. Reich knows the facts because he was IN CHARGE OF THE FEDERAL DEPARTMENT OF LABOR, which is intimately involved with unemployment insurance benefits. But he also knows a good narrative, which is that job loss is typically endured with no government help.