I think the developers have stated that there are official terms for each primals "tempering" but its nice to speculate the ones we don't officially know yet. Maybe if we ask enough times we will get a list. But it's nice to speculate in the meantime.

Known
Ifrit: Tempered
Leviathan: Drowned
Ramuh: Touched
Odin: Sundered


Guesses
Titan: Grounded (Earth)
Garuda: Swayed/Whisked (Wind)
Mog: Tricked (jokez)
Shiva: Frozen (Ice, there was one Frozen reference why not 2, lol)
Bahamut: Choraled/Choired (Dragonsong)
Phoenix: Roused (Life/Fire)
Bismarck: Smothered (or mist-ified, lol, yes?, no?, okay ) (Mist)
Ravana: Infested/Infected (Insects)
Thordan: Reigned (King)
Alexander: Enlightened/Systemized (Holy/machine)
Enkidu: Clucked (Obcious joke, lol)