Total number of crits for both players: FanÃ¡tic 184; CivrÃ´ck 179. Purely intuitively, I don't think pure crit% was the difference remix.
For reference: FanÃ¡tic DW damage is 406 543; CivrÃ´ck DW damage is 594 235.
That really is a pretty impressive difference.
What MH are you using FanÃ¡tic? You're in prot on the armory at the moment. I can't imagine the MH is the whole answer, but it might help to explain. In fact, logging out in your fury gear might help someone spot something...
Long time reader, first time poster, but I do believe the culprit to your low DW is Blood Beast, if you look at damage by actor you will find that Fanatic does .06% damage to the Beast while Civrock does 0% there is some miniscule amount for both.
If you look at both parses other than DW the only other department where Fanatic is losing to Civrok was WW attacks, leading me to believe Civ held his attack back during beast and Fanatic continue to WW while beast were out. So that's where the increase of hits/crits came from. Take away WW totally from both players and Fanatic has about 141 crit and Civ 149 crits.
As for the lower average per tick, I assumed at first that since Blood Beast took less damage from splash aoe damage, the DW would do less damage as well even though the tooltip would suggest otherwise, however as I fumbled around on the WoL and found the damage listings for each abilities it confirms that DW does have a damage reduction for the beast as well(198 ticks) and though I didn't do the math I think when the DW was average together it made Fanatic numbers look weak.