At this point it's not really possible to have someone start the game as a "New Adventurer" I do understand and kinda think it be good but ultimately not possible
because the story is intrinsically linked to your character being the WoL/Azem shenanigans.
You could do it for 2.0 because of the calamity and being a relative nobody adventurer still. Unless somehow we did a new expansion in another reflection and we play as a shard that rejoins with Azem and get a quick run down of the story and scions.
Also the game doesn't really need a new player experience.
When people talk about new player experience what they really mean usually boils down to the idea that playing through the MSQ railroads your progress.
So the idea of a new player experience is really how to leap frog closer to the current content.
The current content which people say there's not enough of or is too difficult or paradoxically too easy and that they hate it and that the story is bad as well and Wuk Lamat should die in a fire... a Big one. Look at this footage of people clearing a raid with no healers.
And I mean as exciting as all of that is and obviously everyone in their right mind would want to jump into that right away I'm thinking that for some it might be overwhelming.
I honestly have always preferred how FF14 is structured because while not being completely exact, you get to experience all the content that came before first hand like it's the first time anybody ever has experienced it.
I wouldn't want to trade that for anything personally because in my on-again off-again relationship with WoW I sort of hate how expansions don't really expand anything. In a vacuum, outside collections or achievements or some transmog piece, there is absolutely no purpose in visiting old zones or figuring out the story or the world itself - they just become places.
Now while you could argue in some ways FF14 is similar in that once you're done with an expansion's content you don't have to really revisit it except for similar reasons as with WoW... What I would say though is that going through the narrative gives the content purpose which is satisfying.
Imagine people going to Ishgard not knowing its story for example.
I much prefer the journey - NOW that being said.
If there was like a split between narrative and an adventurer mode where you weren't restricted in the zones you could travel and could do side quests and dungeon content freely and have some soft way of rerouting yourself back to the msq at somepoint I think that be alright. (Like Bard Ballads you could unlock by talking to a NPC of the Dragonsong War, the Liberation of Ala Mhigo, The One who Brings Shadow... etc to NG+ the experience but you could gain the EXP and rewards from ((Since you never did them before)) as a flash back)
People level faster than they make it through expansions so it only makes sense to let people have some ability to detach from it. I just don't know how it would work. (None of this means I'm against trying though*)