Yes, because being off by 0.6% is so utterly horrendous that no one can trust them.
I mean sure, if you're an ignorant partisan who touts the BLS numbers when it suits you and attacks them when they don't, and doesn't know how the BLS gathers and analyzes this data, or how BLS is trusted by bankers, government officials, financial experts, CEOs etc around the world, then the agency seems "untrustworthy."
Meanwhile....
Okay then. How about ADP? It's a private company that handles HR tasks such as paying employees.
10 years, then 5 years, quarterly results. We can see how COVID decimated hiring, then it bounced back for a bit, and has dropped well below normal in the last quarter.
By the way, ADP and BLS numbers usually track pretty closely.
This isn't a "self-evaluation." It's just them doing their actual job.
The BLS gets its job data by sending out surveys to 1,200 employers. Those employers don't always send in their reports immediately, which is why the BLS makes adjustments for the previous 3 months.
These annual reports incorporate additional data, which also takes time to gather, such as new unemployment claims.
If you want to see untrusworthy data, just wait 6 months or so.
If they were lying about the data, then why bother to issue corrections in the first place?