I've received a "declined" response on a tag, which actually was helpful as confirmed by <insert some authoritative but obscure link to SO, like some tag page that tells that this tag became off-topic at some time>. I've filled another flag with explanation and it was deemed "helpful". Can a moderator remove wrong "declined" status from my previous flag?
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No, a moderator can't revert it; all decisions are permanent. It works this way to save moderators' time and not to introduce additional workload on moderators associated with "flag/decline/appeal/decline/appeal/..." chain that will inevitably caused by ability to appeal flags.
As far as I can tell, flag removal once happened at at Super User, per their meta discussion:
Per my reading, at SU flags were removed not by moderator, but by a developer.
Some time ago I also reported about my flags being removed, but I have neither screen shots to prove that flags were there, nor confirmation from developer / moderator that there was a removal: