Does a getter function need a mutex?

The only way you can get around having the lock is if you can convince yourself that the system will transfer the guarded variable atomicly in all cases. If you can't be sure of that for one reason or another, then you'll need the mutex.

For a simple type like an int, you may be able to convince yourself this is true, depending on architecture, and assuming that it's properly aligned for single-instruction transfer. For any type that's more complicated than this, you're going to have to have the lock.

If you don't have a mutex around the getter, and a thread is reading it while another thread is writing it, you'll get funny results.