Anarchy stacks give a bonus to "gun damage". Does this bonus also apply to the elemental effects of a gun while Anarchy stacks are active?
I just checked with my Mechromancer and the answer is no, it doesn't. It only affects the bullet damage and not the DOT portion. To test I shot the target dummy with a fire SMG while unspecced. Then I got my Anarchy to 28 stacks which should be ~50% additional damage. You can see that the bullet goes from ~40 to ~60 but the DOT ticks remain at 22-23:
With 28 Anarchy Stacks