diff --git a/git/repo/base.py b/git/repo/base.py
@@ -600,7 +600,7 @@ def config_writer(self, config_level: Lit_config_levels = "repository") -> GitCo
            system = system wide configuration file
            global = user level configuration file
            repository = configuration file for this repository only"""
-        return GitConfigParser(self._get_config_path(config_level), read_only=False, repo=self)

    def commit(self, rev: Union[str, Commit_ish, None] = None) -> Commit:
        """The Commit object for the specified revision

diff --git a/test/test_refs.py b/test/test_refs.py
@@ -15,6 +15,7 @@
    SymbolicReference,
    GitCommandError,
    RefLog,
)
from git.objects.tag import TagObject
from test.lib import TestBase, with_rw_repo
@@ -172,6 +173,26 @@ def test_heads(self, rwrepo):
        assert log[0].oldhexsha == pcommit.NULL_HEX_SHA
        assert log[0].newhexsha == pcommit.hexsha

    def test_refs(self):
        types_found = set()
        for ref in self.rorepo.refs: