User blog comment:Jopjopjop/SlashDog/@comment-3965848-20150730093046/@comment-26535460-20150907232503

Unfortunately, there is not enough official information on this type of SG to answer your question. The only independent avatar types we have seen are unique ones such as the Longinus or the Four Fiends. If I was to take a guess, though, I'd have to say both yes and no. Although there might be a "common" IA-type SG, the avatar created might be "unique" to its possessor (considering how the possessor's personality influences that of the avatar and all). In other words, the name of the SG might be the same between two possessors, but their avatars will be unique to each other.

However, don't forget that this is my speculation only.