Technically speaking its exotic perk is Thunderer, but it literally does nothing besides make it fire full auto. Very much an Arc Invective with worse stats and perks.
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Exactly, and Full Auto on a shotgun is also not an exotic perk so my point still stands. I recall seeing things on DestinyDB about how it was supposed to fire all 4 barrels at once. Instead it is just an Invective -1 like you said.