I believe that undocumented workers are not the only ones undercounted in the unemployment stats.

While I have understood all along that the numbers are not "officially" restricted to those receiving benefits, I would still contend that a fair number of those unemployed folks who are ineligible for benefits ~ and there are quite a few ~ are indeed omitted from the official unemployment figures. Not strictly because of their ineligibility for benefits; it's just that such individuals are the most likely to "fall though the cracks" and not to be counted, for any number of different reasons. Many are probably never counted.

Not a huge number, but probably enough to throw off the official numbers by a couple-or-three percentage points, if not more.