Where to begin?
First, the Bureau of Labor Statistics used TWO different surveys with respect to employment.
One is the “Household” and the other the “Establishment” (employer).
True, but irrelevant to the discussion. When talking about the Labor Force, we're only talking about the Current Population Survey (household) not the Current Employment Statistics (establlishment).
The officially reported headline rate is the seasonally adjusted rate. It's better for looking at month to month changes. Looking annually, the average negates the seasonal effects anyway, so using the seasonally adjusted numbers as an annual average would be a distortion. So while all publically released data is "official," the officially used number is the seasonally adjusted number.
Now you’re referring to the birth/death model used in the CES, which is irrelevant to your claims about the CPS. No such model is used for the CPS. In compiling the CPS data, of course there are weights used in the aggregation and any individual household could represent anywhere from a couple of hundred to a couple of thousand other households, depending on the sampling area. That’s standard, tested, statistical practice. When using a sample of 60,000 households to represent around 250 million people, there are of course statistical “adjustments” but that’s not the same as the deliberate adjustments to gain a desired result you seem to be implying.
Actually, the changes in population controls are made by the Census Bureau, not BLS (Census also does the collection for the CPS).
It wasn’t a “Presumption,” but a necessary change based on better data. Deriving the national figures from the sample requires assumptions about the population. Accurate population data cannot be done every month, but on an annual basis a better population estimate can be made. It’s not like it’s done in stealth mode or for any reason but to improve the data.
Keep in mind, by necessity, all the released numbers are estimates. That’s all they can be. Of course they’re not perfect, but they’re better than anything else.
But in any case I note you have failed to defend your claim about “adjusting” people out of the labor force. Why is that?