pretty much.. altho the real question i have is that if primals are essentially prayed into existence and all their powers are based on what the people praying for them think they had, wouldnt that by extension also mean primals are able to temper only because those who prayed for them thought that they could?
as in, if you didn't think what you were praying for was a primal, but maybe just the return of a person (e.g. Good King or say Enkidu) then they shouldnt be able to temper because thats not a part of what you thought them to be right? Or is it just something that all conjured aether beings are capable of?
Then again, Bahamut flies in the face of this, because Tiamat and the Meracydia dragons clearly knew Bahamut but when they summoned him, somehow his personality was all fucked up and not like the actual guy.