The Lodestone achievments "The Miser's Mistress Defeated! Not Applicable (Lindblum) has defeated the Miser's Mistress within the Aurum Veil!" and "Aurum Veil Conquered without Morbol Parts! Not Applicable (Lindblum) has completed the objectives of the Aurum Veil without consuming morbol parts!" both use the word 'Veil' instead of 'Vale' when referring to 'The Aurum Vale'.
Judging based on how it's spelled in-game, it should be 'Vale'.