Normally they're accurate enough, and the revisions/refinements are small.

The initial estimates haven't been accurate recently, because many workers have been completely dropping out of the economy because they're afraid of immigration raids. Information about these workers is just harder to gather and takes longer to verify.

Actually the major complaint was from last year when Biden was president (I'm not sure about this year). Every month, prior months were adjusted downward, often 100,000's thousands and wiping out the previous months positive figure.