They all have drawbacks, but they also reduce the case for needing to speed up CPython.
Pypy does provide faster pure Python. Its a compatible implementation with JIT.
Pypy does provide faster pure Python. Its a compatible implementation with JIT.
And from what I understand there are limitations with using libraries that use the CPython API to interface with native code.
But the libraries limitations, and that it's not the "real" Python project, do get you.