Also a quick question: Is Kratos still the god of war? I get that his powers were taken but I mean does he still hold the title? Because when Ares died they looked for a replacement right away but after Kratos' supposed de-throning a new one was not crowned.
If this is a prequel before he was ever granted the title of God of War.... he wouldn't be the God of War I believe. Probably will have one of the other or more than one of the names already listed above.
I wouldn't expect him to yell out in the game "I AM THE GOD OF WAR!"