Revert "linkcheck builder: experiment: ensure that any error exceptio…

…n from an initial HTTP HEAD request is out-of-scope before performing a fallback HTTP GET request (ensuring that the associated 'response' object's resources can be collected)"

This reverts commit 3682b23.

sphinx/builders/linkcheck.py

@@ -325,7 +325,6 @@ def check_uri() -> tuple[str, str, int]:
                         if not found:
                             raise Exception(__("Anchor '%s' not found") % anchor)
                 else:
-                    fallback = False
                     try:
                         # try a HEAD request first, which should be easier on
                         # the server and the network
@@ -338,11 +337,6 @@ def check_uri() -> tuple[str, str, int]:
                     except (ConnectionError, HTTPError, TooManyRedirects) as err:
                         if isinstance(err, HTTPError) and err.response.status_code == 429:
                             raise
-                        fallback = True
-                        del err
-
-                    # any err.response from the initial request is now out-of-scope
-                    if fallback:
                         # retry with GET request if that fails, some servers
                         # don't like HEAD requests.
                         with self._session.get(req_url, stream=True,