No seriously. Every exotics is an exotic because it has an ability that (generally) no other weapon has. Bad Juju auto-reloads and gives larger amounts of super energy from kills. Plan C dramatically increases its charge rate and weapon swapping speed for a short time after being equipped. Thunderlord increases its accuracy and rate of fire every time 1/3 of its total magazine size is used without releasing the trigger (and has lightning ignite!).
Aside from aesthetics, 4th Horseman appears no different from a basic legendary weapon. What I assume is supposed to be its exotic perk, Thunderer, is just a renamed version of the perk Full Auto. Does 4th Horseman have some kind of special power i've been overlooking, other than preventing me from using an exotic primary or heavy.
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Just the fact it's the fastest full auto perk in gane