Not quite; the point of using the phrase "link to a C module" was to point out that all of them conform to the applicable "C ABI" for a platform and therein lies C's strength as a "glue" language.
e.g. how function calls are done, how names are mangled (for instance on macOS all function names are prepended with an underscore and not on 64-bit windows nor linux...), etc... none of this is defined in the C standard, and it varies across platforms.
Was the phrase i used. It is well known that the C standard does not define an ABI but a processor arch+OS i.e. platform defines it. Over time that defined for C binaries on a platform have become the "de facto" standard and almost all other language run-times hew to it as needed.