> You seem to be under the impression that these figures are exclusively sourced from employers, but they are not. They are sourced in part from a survey of 60,000 households every month, where each household in the the survey for several consecutive months

These are two separate metrics, they measure different things, and the figures often differ (unsurprisingly).

The BLS "establishment" survey (aka Current Employment Statistics, CES) surveys 120k+ businesses and government agencies, it measures jobs (not people), counting the number of payroll positions. This is "non-farm payroll employment", excluding the self-employed, farm workers, and private household workers.

The BLS "household" survey (aka Current Population Survey, CPS) surveys ~60k households, measuring individuals, whether they are employed, unemployed, or not in the labour force. These data are used to calculate the unemployment rate and labour force participation. This includes farm workers, the self-employed, and domestic workers.