pthread_mutex_init vs sem_init (Unshared)

mutexes and semaphore have different semantics. A mutex must be unlocked by the same thread that has taken the lock. So lock / unlock must always come in pairs in the same thread.

A semaphore is much more flexible in that another thread can post a token that another thread consumes. They are e.g commonly used to implement producer / consumer patterns. So you'd have to check the program that you want to port if it fits to the restricted semantic of mutexes.

The semantics of mutexes and semaphores are different. It is true that a non-shared semaphore is equivalent to a mutex if it is only used as a binary semaphore, i.e. if its value is never greater than 1. However, this is something you need to determine from your code's logic not how it is initialized. If you are sure that the semaphore is only used as a binary semaphore then a pthread mutex is a perfect replacement. If not you can either use sem_open() for portability or write a wrapper that emulates semaphores using pthread mutexes and condition variables.

Switching to mutexes should be safe in the given instance. If only one thread can enter the given critical section at a time, you effectively have a mutex whether it's written as a semaphore or not. However, depending on how the functions are implemented by the OS, you may get different performance characteristics. It's not something I would lose sleep over, but still something to keep in the back of your mind while testing.