It depends on 2 things- your code base and your place within it. The key questions are- 1) "Does you code base have threads, threadpools, and the control primitives (locks, events, etc.)" and 2) "Are you developing reusable libraries or ordinary apps?"
If your library has thread tools (almost always built on some flavor of PThread), USE THOSE. If you are a library developer, spend the time (if possible) to build them. It is worth it- you can put together much more fine-grained, advanced threading than OpenMP will give you.
Conversely, if you are pressed for time or just developing apps or something off of 3rd party tools, use OpenMP. You can wrap it in a few macros and get the basic parallelism you need.
In general, OpenMP is good enough for basic multi-threading. Once you start getting to the point that you're managing system resourced directly on building highly async code, its ease-of-use advantage gets crowded out by performance and interface issues.