Reword the GIL term section a bit.

Author: ZeroIntensity

peps/pep-0788.rst

@@ -173,24 +173,22 @@ the existing crashes caused by :c:func:`PyGILState_Ensure`.
 The term "GIL" is tricky for free-threading
 *******************************************
 
-A large issue with the term "GIL" in the C API is that it's semantically
-misleading, as noted in `python/cpython#127989
+A large issue with the term "GIL" in the C API is that it is semantically
+misleading. This was noted in `python/cpython#127989
 <https://github.com/python/cpython/issues/127989>`_,
 created by the authors of this PEP:
 
     The biggest issue is that for free-threading, there is no GIL, so users
     erroneously call the C API inside ``Py_BEGIN_ALLOW_THREADS`` blocks or
     omit ``PyGILState_Ensure`` in fresh threads.
 
-In reality, :c:func:`PyGILState_Ensure` doesn't just "acquire the GIL" in
-modern versions (that being since 3.12). It attaches a :term:`thread state`
-for the current thread--*that's* what lets a thread invoke the C API. On
-with-GIL builds, holding an :term:`attached thread state` implies holding the
-GIL, so only one thread can have one at a time. Free-threaded builds achieve
-the effect of multi-core parallism while remaining backwards-compatible by
-simply removing that limitation: threads still need a thread state (and thus
-need to call :c:func:`PyGILState_Ensure`), but they don't need to wait on one
-another to do so.
+Since Python 3.12, it is an :term:`attached thread state` that lets a thread
+invoke the C API. On with-GIL builds, holding an :term:`attached thread state`
+implies holding the GIL, so only one thread can have one at a time. Free-threaded
+builds achieve the effect of multi-core parallism while remaining 
+ackwards-compatible by simply removing that limitation: threads still need a
+thread state (and thus need to call :c:func:`PyGILState_Ensure`), but they
+don't need to wait on one another to do so.
 
 Subinterpreters don't work with :c:func:`PyGILState_Ensure`
 -----------------------------------------------------------