Something doesn't seem quite right with destroying authority objects: 

Authority objects are destroyable on a personal claim regardless if a player is part of the village or not.  This means that a character with waste (and that is not part of the village) can destroy authority objects on any player claim, but not if they are on a village claim only.  Obviously, the only way to avoid getting your authority objects destroyed is to make sure none of them are on player claims, even if they are in the same village as the authority object.

The bug in question would be that a player, that is not a member of the village, can destroy authority objects on another player's claim even though that claim is also covered by the village claim.

It seems that the objects should be destroyable only by the owner of the claim, or they should be destructible by anybody with waste no matter where they are placed.