a materialized fire spirit is in melee range of is personnal Energy Aura, but have no immunity so by the (dumbs) rules he vanished?
The key point here is IMHO "it's own". The weapon itself would be safe from the aura of the spirit in it, but not the guy handling it,as the effect says that the aura increase damages done by melee attacks made by the spirit or is inflicted on anyone attacking the spirit, but does not say it damages the spirit itself...
To take a parallel : imagine a dwarf with the spell "Elemental Aura" sustained on him. He is safe from the aura (rule-wise the wording of the spell is nearly word for word the same as the critter power).
Suppose a troll grab him by a feet to slam him repeteadly into a wall. Would you inflict damage on the troll just once, when he grabs him (and be able to wield his magically-enhanced metahuman club without further damage), or for as long as he keeps his hold on the dwarf sheated in destructive magical forces ?