Only you don't NEED to do it 3 times, you could do it TWICE, and then pick right back up with heavy swing on 5 and 6.

So you only lose two heavy swings, a single maim and a storm's eye.
You get back to your normal rotation faster.

If you spend 10 minutes in combat, you save 1 action every 30 seconds. 20 actions in 20 minutes. Translate that back to full damage combos gained, nor storms eye lost.