As far as I'm aware no statisticians have been fired and no suggestion has been made that they should be. McEntarfer is pretty high up in the food chain; she's there to be accountable for performance, not to crunch numbers.
Ok fair enough, but this is very very very like the Greek incident.
More generally, this is incredibly dumb in many, many ways. Like, the BLS can't control survey response rates, and the fact that Covid has broken the seasonal models for basically every long-run time series is also outside their control.
One could argue that they should be using IRS tax data to figure this out, but that would be a massive change.
And finally, if the numbers looked good, there would have been no firing (regardless of the errors). It's gonna be an interesting Monday on Wall St.