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Deity
It should be THIS city, but it's using the same text as the stability bonus from civics, TXT_KEY_CIVIC_REV_INDEX_LOCAL_BONUS. It's called twice in CvGameTextMgr.cpp, lines 8852 (civics) and 13816 (buildings). We need a separate text key for stability from buildings.
I remember testing it. It only affects the city it's built in.
You're right and it's the same for
TXT_KEY_CIVIC_REV_INDEX_LOCAL_PENALTY
I'll push the change in next revision with text for 2 new lines
TXT_KEY_BUILDING_REV_INDEX_LOCAL_BONUS
TXT_KEY_BUILDING_REV_INDEX_LOCAL_PENALTY
That should work for the text.