PyO3 began as fork of [rust-cpython](https://github.com/dgrunwald/rust-cpython) when rust-cpython wasn't maintained. Over the time PyO3 has become fundamentally different from rust-cpython.
While rust-cpython has a macro based dsl for declaring modules and classes, PyO3 uses proc macros and specialization. PyO3 also doesn't change your struct and functions so you can still use them as normal Rust functions. The disadvantage is that specialization currently only works on nightly.
Because PyO3 allows only references to Python objects, all references have the GIL lifetime. So the owned Python object is not required, and it is safe to have functions like `fn py<'p>(&'p self) -> Python<'p> {}`.
rust-cpython requires a `Python` parameter for constructing a `PyErr`, so error handling ergonomics is pretty bad. It is not possible to use `?` with Rust errors.
PyO3 on other hand does not require `Python` for constructing a `PyErr`, it is only required if you want to raise an exception in Python with the `PyErr::restore()` method. Due to various `std::convert::From<E> for PyErr` implementations for Rust standard error types `E`, propagating `?` is supported automatically.