If you also need the accuracy bonus of the Str, it gets a bit closer, but still doesn't offer a damage advantage. If you have 96% accuracy, and gain the 4% to be at 100; It's another ~4% increase in damage; so ~116.8 effective.
Basically, use the axe up to level 7, but then replace it.
But that was the entire point of my post. Act 1 ends at roughly level 7-8, not counting the end boss XP. The Axe is the only thing (Unless you get super lucky with RNG and get a level 8 epic before the final boss) you'll have on your warrior for more than half of Act 1.
As some perspective, I spent most of my time in Act 1 running around looking for gear upgrades for my other 3 characters. The warrior needs no help. Just toss every Braccus gear on him and he's set.
