I have checked and I can confirm that the Memcache PHP extension has been installed and is available on our servers. You can also confirm that via the following phpinfo file:
The user that replied to that thread has incorrectly stated that it should be a PHP module, since PHP does not use modules, but extensions and the Memcache one is a PHP extension.
I'm trapped between two support groups that are telling me the other one is wrong. What I need at this point is the correct entry in config.php, since the sample one in the documentation refers to APCu as the Local, and not memcached.