I think I've done it in that one big rant I had.
To clarify: it's not that I don't consider FFXIII an FF - it is very much an FF because it's released as one. I just think Bravely Default is much more FF-like on a spiritual level. XIII was its own thing with an FF brand slapped on it, while BD was the opposite - an old school FF without that brand. The setting is fine, and I actually think it's one of the coolest, most original things about XIII. Where it failed was the poorly executed story (that had so much potential that it was frustrating) and gameplay that was just uninteresting to me. Neither was it real time, nor turn base, nor anything we knew ATB to be before it. Granted, FFXII also had a new system, but it also had the setting of Ivalice which had already been introduced to FF beforehand, alongside the prelude being there, the victory fanfare, the Final Fantasy theme, etc. XIII gives us new, sci-fi sounding classes that are just abstract. Why is it Commando and not Fighter/Warrior, for example?
Bravely Default, on the other hand, uses the exact naming for the classes as the ones usually seen in FF, adds a new spin on the classic turn-based system, graphically looks similar (but superior) to the DS remakes of III and IV, has a story that is intentionally written to be a parallel to FFI/III/V, and then we have characters that are reminiscent of previous FF characters, with lots of conversations and the party chat function that really reminds me of the ATEs from FFIX. And as much as I love Hamauzu, Revo is a much more appropriate replacement for Uematsu due to the fantastic yet simple arrangements with strong melodies which is what made Uematsu's soundtracks stand out in the first place. For these reasons, Bravely Default felt much more like a Final Fantasy game to me, personally, than XIII. It's a love letter to old school FF fans much like FFIX.