All of them provide C APIs to their additional features not covered by POSIX.
What Linux has is that due to the way syscalls are exposed there is a certain laziness to cover everything on glibc, or its replacements like musl.
Unsaid was that much of this project separation comes from glibc being born as (and probably still being) a "portable libc with extra GNU-ish features", not a Linux-specific thing.
Honestly, some of this pain might have been avoided had the Bell Labs guys made two libraries - the syscall interface part of `libc`, called say `libos`, and the more articulated language run-time (string/buffered IO/etc./etc) the actual `libc`. Then the kernel could "easily" ship with libos and libc's could vary. To even realize this might be helpful someday likely required foresight beyond reason in the mid-1970s. Then, afterwards, Makefile's and other build system stuff probably wanted to stay with "-lc" in various places and then glibc/others wanted to support that and so it goes. Integration can be hard to un-do.
Traditional unices develop the kernel and the libc together, as a system, so any kernel feature they want to expose they can just do so.
Because I do not like certain decisions in the design of glibc, I am skeptical about their ability do define good standard APIs for the more recent syscalls, so perhaps it is better that they did not attempt to do this.
Linux has evolved beyond POSIX and many newer syscalls, which can enhance performance in certain scenarios, are not available as libc functions.
They may be invoked either using the generic syscall wrappers provided by glibc besides the standard functions, or by using custom wrappers or possibly by using some special libraries, if such libraries are available.