Yeah, he doesn't have any of those. Still, there are more male characters coming to WO4U right now than female, Gaia and Joan and Hades, Achilles and Ryu. There are still more characters that are to be announced in the near future but still, seems that they're not prioritizing those two gameselling assets yet.
Can KT actually pull off obtaining Kratos? i'd be pretty curious on that. It'll be the first time in history where he's literally in the same time and world with Ryu Hayabusa.
Though that would mean paying royalties to put him in outside of Sony based consoles if people were to include PC releases.