BLM anima, from what I understand, is 109 Int, 103 vit, 97 det, 71 crit.
The other i210 options on the Lodestone are both 105 damage, so I presume the anima is as well. They also have that same 109 int and 103 vit.

That means the three weapons only differences are the secondary stats .. 97 det 71 crit on anima, 102 spell, 68 det on lunaris, and 102 crit 71 spell on Gordian.

From what I can find (https://dervyxiv.wordpress.com/), the stat weights are WD 6.726, Int 1.000, det 0.246, crit 0.246, spell 0.281. That means the totals for *just the secondaries* on the three weapons are :
lunaris : 45.39
Gordian : 45.043
anima : 41.328

That's assuming that the Int and WD are the same for the three weapons. If the WD is even 1 point better on the anima though, then it will win out in numerical theorycrafting. Or is there something I'm not seeing?