I read once that the term “Full employment” means somewhere 4-5% unemployment. This allows for people who don’t want to work and people who are in the midst of changing places of employment or are undergoing retraining for a different job and also those who are not able to work but do not yet fit into some pensionable pigeon hole!
Do we really believe that they don't know exactly how many Social Security numbers are paying taxes each week/month? Employment stats are propaganda.