Securitycheck Control Center is able to update extensions which use the Joomla! Update. However, sometimes there are some errors during the update process and the task can't be accomplished. Check the log file as it will have useful information returned by the server/Joomla to know what's happening.
We have done a great effort to test the maximum number of extensions using this mechanism. However, we can't test all extensions of the JED. Please, take note that many commercial extensions use its own update mechanism and they won't be able to be updated using the extension. If you find an extension that can't be updated, please write me an email to do some tests and add it to future releases.