-True name of Lahabrea likely is Hephaestus, the Greek god of the forge and fire. Makes sense, given how Hephaestus forged weapons for the gods and was the god of fire and Lahabrea forged early concepts of Primals, repurposed them later for weapons, and most of his creations were fire themed (First Phoenix and Ifrita).
-I suspect Azem's name is Prometheus, who gave the power of fire to mankind so they could have light, in defiance of the gods and was outcast for it. Here fire not only symbolizes literal fire, but also hope and light.
-Elidibus's true name could be Asclepius/Ophiuchus greek god of medicine and represented as the serpent bearer for which Zodiark and Elidibus from FFT are referenced by (13th zodiac sign).