Use MUSL's `weak*` feature in bottom half (#306)

Use MUSL's `weak*` feature in bottom half (#306)

This change extracts the `weak*`-related parts of #303 as a separate PR.
Note that this is slightly strange in that it uses some top-half MUSL
headers in the bottom-half code, but discussion around this led me to
believe that the advantages of, e.g., `LOCK` made this worthwhile.
Beyond just changing uses of `weak` to `__weak__`, we also MUSL's `weak`
and `weak_alias` macros in a few more places.