Memory-mapped files copy data from disk into memory a page at a time. Unused pages are free to be swapped out, the same as any other virtual memory, unless they have been wired into physical memory using mlock(2). Memory mapping leaves the determination of what to copy from disk to memory and when to the OS.
Dropping from the Foundation level to the BSD level to use mmap is unlikely to make much difference, beyond making code that has to interface with other Foundation code somewhat more awkward.