You'd need a direct source of Alexander's aether for that, regardless of whether the primal is alive or dead. Bahamut left his aether all over Carteneau from his Megaflare, for example, which is where Dreadwyrm Trance comes from.
I admit I haven't read the quest text for Alexander too closely (Mide....snoooooore) but I don't think Alexander actually expends or expresses any aether outside of itself. All of its aether would have to be sourced from inside it, either the creatures it generates or residue from its attacks.
I admit I haven't read the quest text for Alexander too closely (Mide....snoooooore) but I don't think Alexander actually expends or expresses any aether outside of itself. All of its aether would have to be sourced from inside it, either the creatures it generates or residue from its attacks.