Only about the circle. But the God of Battles as a separate being, despite the thread and the circle, is quite the same type of demon as in DMC 2. Demon God. Demon Gods are born precisely from faith in some beings. Perhaps Agni and Rudra are also like that, since in DMC Odin is a demon who was born from faith in Odin (from myths), and Agni and Rudra are also characters from Hinduism. The names of demons are always what they are for a reason. According to DMC 2, if your name is literally the name of a character from some myth/faith, then you are the result of faith in this being, materialized. So, for me it is obvious that Agni and Rudra were born due to people's faith in these deities from Hinduism.