I considered that Ascians might have had a hand in the matter, but it's hard to draw further conclusions until we know precisely what capabilities Amdapor had so I didn't explore that idea very much. However, reading your reply, a question that now occurred to me is why would they use Sin Eaters in particular? How would this empower Amdapor and facilitate more chaos than if the Ascians had not intervened? What did Amdapor and the Ascians stand to gain from this transaction that they would not have otherwise?
What benefits does simply shaping the golems into the aesthetic form of a Sin Eater confer? Wouldn't normal stone golems (e.g., the Clay Effigies, Mana Idols, and Mana Pots encountered while descending into the Crystallum) suffice? They already had normal golems that were very capable of fighting, why would they need to create additional golems that were doubtless more difficult to make than Idols or Clay Beasts?
A possibility might be that much like the patterns that arcanists and geomancers utilize or the way that various weapons have divots and carvings, certain patterns enhance the flow of aether. Taking the form of Sin Eaters might allow for stronger golems. However, I find this a weak justification for all the effort it would take for the ascians to step in and teach the Amdapori about cross-dimensional beings just to make their golems, already functional, more effective.
On a side note, something curious to me is that none of the "Gargoyle" statues in Amdapor Keep are identical to the gargoyle-type Sin Eaters (Tesleen's model). In fact, they are actually quite different if you examine them. Here's an album I put together comparing some of them.
If those were indeed made in the image of the Sin Eaters, then they're not 1:1 like the Winged Lion or Kuribu recreations. They are golems, but interestingly they are identical to voidsent, and NOT to Sin Eaters. This may be an oversight, as they probably didn't have models of the First gargoyle things made yet.
Also, this probably has no significance, but I found it interesting that the zombified Amdapori White Mages you fight are named "Amdapori Gargoyles" while the adds that look like what we think of as gargoyles are called "Putto."