I have three moderators, but in the Forum beneath there nicknames it shows Member. The editlinks are visible though.
They are placed in bb_specials.php like this:
$mods=array(1,20,792);

Now I have added them this way:
$mods=array(
1=>array(792,1,20),
2=>array(792,1,20),
3=>array(792,1,20),
4=>array(792,1,20),
5=>array(792,1,20),
6=>array(792,1,20),
7=>array(792,1,20),
8=>array(792,1,20),
);

The Moderator lable shows, but the edit links dissapear, so they can't edit the posts.
Am I forgetting something here?

Sorry without deep investigation it's impossible to determine why it happens so. It absolutely works in default configuration.