Different Answers

Using a german version of WordPress, the about screen says:

“Diese Website ist in der Lage, diese Aktualisierungen automatisch auszuführen. Klasse!” all OK

the plugin says:

“PASS: Your WordPress install can communicate with ww.wp.xz.cn securely.
PASS: No version control systems were detected.
PASS: Your installation of WordPress doesn’t require FTP credentials to perform updates.
WARNING: Couldn#8217;t retrieve a list of the checksums for WordPress 3.7. This could mean that connections are failing to ww.wp.xz.cn.”

-> also NO automatic updates ?!

http://ww.wp.xz.cn/plugins/background-update-tester/