Nothing was said about the story that the productions will address either, although changes in the narrative are expected. The case of Uncharted can give clues in this regard, since although it has four main titles, very little of those stories was taken to build the script for the film.
In the case of Horizon, Guerrilla Games has developed a couple of games and has a third in mind for the PlayStation VR platform, while Santa Monica Studios has created eight main God of War games.
It is worth mentioning that with its arrival on PC in March of this year, the latest games of this pair of franchises have reached relevant figures for Sony. Horizon Zero Dawn has sold more than 2 million units ($60 million in revenue), while God of War has shipped 971,000 units ($26.2 million).