Why do you assume everything needs to be a 1:1 of the game? Dialect can be added for context. In the games the less dialect worked since you took control over the characters and even so there was plenty of cutscenes still exploring the characters and their differences. Sorry I simply do no not support acting like the Game started at the reboot. If you and others only started caring about the franchise then, thats fine, but that's not God of War.
Dialect can be added? Do you mean dialogue? With whom? He barely talks to anyone throughout the games. Other than Athena and Zeus there are barely any repeat characters in the franchise.
I started God of War with the first game and have played all of them except for the 2nd PSP game and Ascension. Beating all of the ones I played except the 1st PSP game.
It doesn't make for captivating tv and you'd have to write an entire original story for the greek saga around the events of the first games. The Castlevania games which have received animated series took that approach with mixed results. And again that works more in an animated version, but even Castlevania had multiple characters to work with.