The value of nonlinear storytelling is not plot advancement but character development. It can help the audience understand why characters are choosing to behave they way they are.
This does not mean that the “writing is weak” as plot is only a small part of writing. Character motivations and relationships are key components which raise the stakes for the audience to actually care about the events and characters.
I’d argue in a story where the end is known (there are no surprises in Manhunt) this is even more important.