Allagan Axe is worthless if you have the Allagan Head as +1 gives you Parry (much more useful than det/crit rate in 2.1) and you're already at the Acc cap unless you really want that Skill Speed from Hero's accessories. Determination scales your damage linearly whereas Crit is % chance, so unless you're trying to get higher crit chance on IB (not nearly as useful in 2.1) then DET will more reliable than Crit. So if you do want to maximize DET, then crafted DPS gear and the Allagan axe is for you. If you want the maximize parry, Allagan accessories, Allagan Head, and +1 Bravura are for you.

Also the +1 Bravura glows pink, so consider that as well. ;D