Dawntrail is indeed a "new beginning" and yes, Solution 9 might have nothing to do with the Ancients.
Of course, they are still continuing the story of the game, so it could be related to other shards, maybe the Allagans, maybe the Garlean Empire, etc. To me it isn't very clear what exactly they're trying to move away from other than Hydaelyn and Zodiark. Are they trying to completely move away from the Ancients? We just got a reminder of Emet-Selch's speech in 6.55, so I don't know. We also had that tease at the end of the Pandemonium raids about Ultima, which is unrelated to Hydaelyn/Zodiark, so I think it could potentially be a plot thread in the future.
Even though I would like for them to move away from this a bit, I also don't want them to just create something completely out of nowhere because, to me, it would just feel like a missed opportunity to continue a past plot point, making it feel like they're forgotten. A loose thread, if you will.