I think it would be a good idea, I mean, he could start from when he obtains his powers, then in the third act of the game the beast appears, he flees, and later he travels to the past to accelerate the process of the creation of the ray sphere and that the game ends with its explosion, which gives Cole his powers
Now that I think about it, imagine if this were the last game in the series and it ended where it began, it would be amazing, honestly.
PD: the protagonist would be Kessler The protagonist would be Kessler and the story would be from his original timeline where the beast kills his family and travels to the past to accelerate the process of the ray sphere (all this was mentioned in the story of the first game)