Kratos is a God, not a Demigod. Kratos was a Demigod in GOW1 and has been a god ever since. He became a god after absorbing Hades' soul, his status of God was never taken away. He IS a God, not a Demigod anymore.
So please stop changing it to "God (Formerly)" because if he was a Demigod in GOW4 he wouldn't have been able to match Baldur.