Or Py_tss_NEEDS_INIT is removed from the C API document to become a private feature; in other words, the Python interpreter will recommend that the static allocation for the TSS key shouldn't be used in the API client codes except for the interpreter core and built-in modules. (okay, I know it's an unfair suggestion)

BTW, it's my mistake which the word "default value" for Py_tss_NEEDS_INIT, actually it makes more sense "initializer". I'd like to fix the document and the PEP, would I open the PR with this issue?