You have to wonder, since they are doing two different surveys trying to measure the same reality, which one more accurately measures the facts on the ground? Asking businesses how many people they are employing, or asking households whether or not their folks are working? The numbers don't really match up between the two.
This is very common for economic statistics.
GDP too. That's how you can get more accurate information, and you have actual numbers on the discrepencies.
They rely on the household data more because it doesn't have as much systemic error, even though it does have more sampling error. Asking businesses gives you a more complete picture, but it has much more bias.
Hell, this is why even in accounting, you have double-entry bookkeeping, and even there, the numbers don't always match up.
Or "my bank account doesn't match up with my cashflow statement".
It's not that one is better and you should use that, calculating multiple ways is central to accounting so you can detect errors.