Looking at it, I’m not that convinced that “Previous accomplishments in said Dynasty have no applicability to the Time Monk.” doesn’t still catch you. Yes, you’re just reading off the gamestate which says “if there’s a player called Clucky he has a Dung Pile”, but the Dung Pile is also a previous accomplishment of yours. “No applicability” is a strange phrase, but it does seem as if this adds up to “a Dung Pile exists in Clucky’s name but it is not applicable to him”.

Its not a previous accomplishment though. It just happens to be an entry in my toybox. The “accomplishment” would be constructing the dung pile, using it to win, anything like that. The mere existance is just gamestate.