Just in case anyone was wondering how to do this it goes like this:
In mod_moolet_online.inc.php; the commented line is the original line; the one below it replaces it.
// echo "".$away_text."";
echo "".$user->username."";

------------------------------
OK, nevermind. My code gets striped when I try to submit this, so I guess it was not meant to be. Just do a text search for $away_text and find one that is in the else part of an if/then/else and change $away_text to $user->username. I also changed it from a span to a anchor so that it _link_s to the users community builder profile and changed the _style_ sheet, but that might be overkill.