Is it possible to have more of the current items to be stored with the porter moogles?

-Walahra Turban, Glory Crown, and Optical Hat
-Teleporting rings/staves from Missions/Quests
-WotG Quest reward rings
-Weapon specific hachimachis
-Elemental obis/belts/sachets
-Fake relic weapons(weapons with relic WSes)
-Brygid JSE