Does John's retcon powers still counts as a Breath ability?

It’s intrinsically tied to Breath and Detachment, he becomes Detached from the Plot, Free of the normal conventions of the Alpha Timeline, allowing him to Change things for the better. However- It could also be seen as a combination of all 4 Betas, as we know their Souls are trapped in the Juju. You have the Detachment and the Plot, the Freedom, from John. You have the Alpha Timeline and what is actually relevant, from Rose. And Time and Space to warp back to various points and places of the story.