What if Judas didn't do it?

[Belacqua]

if accuracy does not make a story truer, what does?

It depends on what the story is doing. 

If you're writing a history of first century Palestine, then accuracy makes the story truer. But if you're writing a narrative that prompts people to consider how they live then what you write may be different. The goal is not to give a journalistic account of events but a story about what certain actions mean for us. 

At its base, it's the good old distinction between is and ought. Disinterested journalism and objective science deal with the former and, by definition, exclude the latter.