It shouldn’t be a ‘survey’ at all.
Real numbers from the states unemployment offices can be used.
But they would never do that, as it would be too politically damaging..........for both parties........
State unemployment offices aren’t used for a good reason. If people stop getting benefits then they wouldn’t be counted. This way, with a random phone survey (which is how the BLS #’s have always been done) is probably the best way. They just need to tweak the questions.