However, none of these spell out what notifications the person flagging and the person who wrote the flagged post get in different situations? It seems to vary not only by type of flag (eg. off topic, inappropriate, etc) and by the action that a moderator takes (agree, disagree, ignore).
Are all the possibilities listed somewhere? If not, you you consider making an FAQ on this?
Hello when you flag as off-topic, inappropriate or spam nothing is sent to the flagger. However, if they select something else a moderator is sent a PM and when they take action on the post the flagger is sent one of these messages automatically.