You're kidding, right? The BLS’s seasonal adjustments (i.e. special sauce) are not perfect. I prefer to analyze year-on-year not-seasonally-adjusted comparisons. Nonetheless, the CES (current employment statistics) statistics are a reliable reflection of what the BLS observes in its monthly survey of establishments.
Sorry, but the BLS should really be named the Bureau of Labor BS. The “corrections” they make are fabricated nonsense. For example, despite the fact that the housing market is in the toilet and home construction is at a low ebb, they will add 100’s of thousands of make believe construction jobs in the spring to “seasonally correct” their numbers. And by ignoring millions of people who want a job but after years of looking have just given up, the dept. of BS can report an unemployment rate under 8%. This is NOT something done only for Obama, both political parties are happy with the fake numbers when they are the ones in charge. What they do is simply statistical fraud.