The new player experience and how FFXIV fails as an MMO.

[Absurdity]

Even taken in isolation I wouldn't say that the Live Your Story section implies a story focus above all else, nor does it imply that the story gates all other content.

If I wanted to be uncharitable I could also call the "Live your story" tagline misleading.
You're not playing "your" story, you're playing the Warrior of Light's story. A pre-defined character whose personality, reactions and decisions you have no control or even influence over.

Now obviously I didn't go into the game expecting that, but the tagline might give someone the wrong idea, when "Live your story" really only pertains to everything you do outside of the actual game story.