MW Math #2-The Circe AOE

Alright, I'm reviving this series!
First one, using Circe as a AOE hero.
Assume a battle is 2 minutes long.
56% proc rate with 6 sec cooldown means about 1 proc every 10 seconds.
Assume she clones a Sarky similar to my Sarky.
My Sarky has 40% chance to attack nearby enemies 6 times for 2205 damage each.
6 x 2205 = 13230 damage per proc.
Assuming Circes clones survive for 10 seconds it is likely the Sarky will proc at least once.
So 2 minutes = 120 seconds = 12 ten-second intervals = 12 Circe procs = 12 clone Sarkys.
12 x 13230 = 158760

158,760 damage is a lot... but I felt that Sarky always gives me lots more than that pre-1.9.
Overall, my conclusion is that Circe > Sarky for these situations.