I've done a 2H Champion play through and you don't need Cunning. Your Inquisitor gets +10 cunning from the mission in the Emerald Graves, and you can get plenty of Critical Chance from the Axe of the Dragon Hunter, Mask of Grand Duchess, Varric, Vitaar, etc. High crit + Flow of Battle = frequent invincibility from Walking Fortress. I love the Champion spec in this game.
The axe is really what bugs me. I'd prefer a build be weapon neutral. What kind of warrior relies on any one weapon? Plus, swords are sexy. And a warrior looks lame as hell with those masks.. let alone one by the grand duchess.
I'm totally serious. Petty though it is. It's like they overlooked the simple idea of an asskicking warrior, with martial skills (rather than mystical skills), who can kick ass and not look goofy doing it. Funny that they chose this very image for their box art.
I'm glad it can be done though.