I do not see a reason for Moving Target on Anarchy in any way for the exotic. It's such a useless perk because you don't use the gun for 1 on 1 gunfights like primaries where strafing is much more effective. Normally, most people that I see (including myself), quickly swap to anarchy, pop off two shots into a boss, and then swap off to use another dps weapon.
My proposition instead is to place Quickdraw in its slot to allow you to swap faster when popping off shots and stowing faster so I can use another DPS weapon for synergy. Hell even Auto Loading Holster would work well so I never have to worry about reloading.
EDIT: I'm glad I'm not the only one that wants this perk removed, hopefully Bungie considers it...
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Give it Vorpal Weapon lol