To clarify the reasoning for my post. The "Moogle Storage Slip 08" currently holds all NQ Empyrean Armor. For a breakdown I will use Raider(THF) as the example:

Raider's Boomerang - Scars
Raider's Bonnet - Scars
Raider's Vest - Heroes
Raider's Armlets - Heroes
Raider's Belt - Visions
Raider's Culottes - Scars
Raider's Poulaines - Scars

However the other accessory from the set (mentioned in my OP) is not able to be stored.

Raider's Earring - Heroes

It seems unlikely that the 3rd accessory item was omitted intentionally as it fits the established pattern for slip 08.