Both of Coil's timelines are wrong concerning Apocrypha

Except. Except, except, except. Except when Apocrypha became involved. The new Trump on the block, whose powers had been left frightfully vague even in the toppest of top secret PRT files. The only thing anyone had written down on paper or filed in the PRT’s official files was her Trump designation and a brief, unhelpful description of her ability to use “powersets.”

And whenever she and her ill-defined powers got involved, something went wrong. Not always, not as long as she wasn’t pushed and didn’t have cause to start pulling out one of her powersets, but after the time his actions had accidentally dragged her into a fight with Hookwolf, after — against all predictions to the contrary and a timeline he’d had close where Bakuda had set off enough bombs to destroy half the city — she had survived her encounter with Bakuda unscathed, any time she became involved in a protracted battle, he’d been forced to cancel the timeline. To not do so would leave him entirely too vulnerable to the possibility that she had done something to make it unreliable.

It had, at least, answered the question of whether or not his powers were simulation or the creation of actual timelines.