No, this is not the reason. The numbers that get fanfare are the preliminary BLS numbers. BLS collects data through surveys. Preliminary data are published with incomplete responses. As more employers respond, the numbers get updated.
Guess which employers tend to report late? Those that are doing lots of hiring and firing. So the stable numbers come in first. Then the volatile numbers later. This is well documented, happens on the way up and down, and is constantly (and wrongly) quoted as a partisan conspiracy going both ways.