People do realize that when using the Duty Finder, you CAN do anything while it searches for a party. You don't need to stand at the entrance. ( http://xivwiki.com/Duty_Finder ) And your retainer DOES have a transaction record that does retain info after logouts.
Perhaps those that want logs of chats for LS and FC might request the devs to look into adding that feature in a future patch? Enough players wanted the afk kicker, if enough want the logs they stand a good change of getting made.