It's an optional system (you don't have to touch it to progress to Act Three), it only appears for a comparatively-brief moment in Act Two and it only affects its own system and nothing else... so I don't want to put it in "stats", at least not using the current stat UI.
I might rework that whole page, though, to give readouts of a lot more variables (Kind/Cruel ratio, number of kids, number of times used X Power or did X thing, and so on). Because I agree it can be a bother having to go to the office to check your authority :)