Still the Warrior of Light in 6.x and beyond? [Spoilers through ShB]

[Vflower]

Bro we're not going to get more of the shards of Azem's original soul because that would require literally murdering 6 people for no reason

If the unsundered Ascians were able to restore the soul and memories of sundered Convocation members by using their soul crystals, then Venat - if withdrawn from Hydaelyn - may be able to restore Azem using his/her crystal which we have in our possession.

[TheMightyMollusk]

But that would require the other shards of our soul. If they've been reincarnated on the remaining Shards (and assuming our shard on the Thirteenth is still viable, considering it's the Void now), then those people would have to die so we could claim their souls.

[Cleretic]

If the unsundered Ascians were able to restore the soul and memories of sundered Convocation members by using their soul crystals, then Venat - if withdrawn from Hydaelyn - may be able to restore Azem using his/her crystal which we have in our possession.

That crystal isn't a soul crystal like the rest, and contains no memories of Azem. It instead includes one of Azem's spells. So it's less like a job crystal and more like a Eurekan memory or Lost Skill from Bozja.

[GoldStarz]

If the unsundered Ascians were able to restore the soul [...] by using their soul crystals

They weren't, all they did was restore their memories and basically overwrite the person they are with the person the used to be pre-sundering. They were (and for the remaining, are) still very much sundered hence why Emet is basically willing to write them off if they get fucked up enough (see Eden) and just generally treat them as lesser.

[RyuDragnier]

But that would require the other shards of our soul. If they've been reincarnated on the remaining Shards (and assuming our shard on the Thirteenth is still viable, considering it's the Void now), then those people would have to die so we could claim their souls.

Not necessarily. Imagine the teleportation spell grabbing their souls while they're sleeping. We temporarily fuse together, destroy the final boss, then separate and push their souls back to their bodies. If anything, they'd be comatose like what happened with the Scions during Shadowbringers. And considering time seems to be nonexistent in the rift or at least heavily warped (considering the images we saw on our way to the First), the amount of time we'd be borrowing the souls would be anywhere from a few seconds to a few hours.

[Vflower]

But that would require the other shards of our soul.

It only required one shard of a convocation member's soul, the unsundered were able to raise such a broken soul back up to nearly full potential.

Elidibus, Lahabrea, Igeyorhm, Nabriales...
Those are not our true names.
They are merely the names of the seats we occupy.
And so, it is naturally possible for one to be succeeded by another.
Having lived for this long, I have doubtless seen them fall before.
When that comes, all that is necessary is for us to raise another to the same seat.
And the ones most suited to be raised up are their reincarnations.
They… or rather, their original forms, had their soul split into fourteen with a single strike from Hydaelyn.
I suppose that on the upside, you could say that we now have fourteen candidates for each seat.
We original Ascians will, from among those candidates, choose one of them to raise up, and return them their mission and power along with their seat.
Well, it's not as if it's impossible to raise a completely unrelated stranger up the same way, but it is we who originally summoned Zodiark who have had our very souls eroded by him.
...With souls already dyed in his color, there lies no chance of failure.

They were (and for the remaining, are) still very much sundered hence why Emet is basically willing to write them off if they get fucked up enough (see Eden) and just generally treat them as lesser.

Considering that Fandaniel is threatening our entire world and what Emet-Selch said in the quote above, it does sound to me like raised Ascians gain almost their full ancient powers.
Of course they would still be seen as expendable by the unsundered.

[Vflower]

That crystal isn't a soul crystal like the rest, and contains no memories of Azem. It instead includes one of Azem's spells. So it's less like a job crystal and more like a Eurekan memory or Lost Skill from Bozja.

Is there a line in the game that states that clearly?
When you find Azem's stone, Hythlodaeus explains:

As you will have gathered, each crystal bears an account of the life of a member of the Convocation as remembered by the unsundered.
Lest you worry, they aren't concepts; they are far too incomplete to be so. But they suffice for imbuing memories within sundered souls, that they might be restored to their office. [...]
Defectors having been deemed unworthy of commemoration, no crystal exists for the individual in question.
Or shouldn't exist, at any rate─and wouldn't, had a friend not created one in secret.
A crystal bearing the forgotten name of her office, along with a magick of her own conceiving─a singular incantation embodying her spirit.

So yes, the stone does contain Azem's title and his/her spell, but is that all it contains?
The English version is - as usual, unfortunately - fairly vague on this, but in other languages he says that "Azem's legacy" was stored in the crystal.

When you use your crystal in the fight with Elidibus, you hear lines likely recorded on it by Emet-Selch:

Herein I commit the chronicle of the traveler. Shepherd to the stars in the dark.
Though the world be sundered and our souls set adrift, where you walk, my dearest friend, fate shall surely follow.
For yours is the Fourteenth seat - the Seat of Azem.

"Commit the chronicle of the traveler" sounds like the stone does contain memories of some kind.

With G'raha we were successfully able to fuse the soul and memories of an 8-shard person into a less dense soul. If our stone does contain the legacy of an unsundered person, I can absolutely see us fusing it with our lesser version of ourselves to become more powerful. There has to be some reason we made sure not to leave that crystal behind on the floor.

[tinythinker]

One element I've wondered about before is whether it's possible that the events in 6.0 could cause most or all of the world to forget us as some aspect of reality gets reset. Similar to 1.0 -> 2.0, only perhaps permanently. If there is any depowering of any degree that would fit well with such a theme. Weirder would be that (dialogue option wise) we forget ourself for a while. Of course if the world is rewoven that could also have a similar effect - stranger in a strange land.

[Cilia]

I'm actually wondering whether 7.0 will star the same PC or even take place in the same setting.

This is the "final chapter in the tale of this star," and 6.1 (i.e. start of 7.0 story arc) is supposedly going to have no returning NPCs from 1.0 - 6.0. The only way I can see that happening is if the PC jumps on a boat to Meracydia / New World without telling anyone... or if "Azem" retires after Endwalker (with the 6.x raid content serving as a sort of denouement) and a new protagonist in a new setting (different continent, different shard, different universe...?) takes up the reins. Like the ending of a D&D campaign.

I mean, by the end of Endwalker we will likely have wrapped up all the cosmic mysteries since 1.0, and it's hard to scale things back and still make them exciting. Political squabbles in Ul'dah feel so blasé compared to trying to stop the apocalypse.

Or maybe there will be some timey-wimey shenanigans, "Azem" will just hop on a boat to the New World without saying bye, or some interdimensional shenanigans will be afoot. Hard to say.

[EaraGrace]

I'm actually wondering whether 7.0 will star the same PC or even take place in the same setting.

This is the "final chapter in the tale of this star," and 6.1 (i.e. start of 7.0 story arc) is supposedly going to have no returning NPCs from 1.0 - 6.0.

I do not believe this is what they said. They’ve definitely talked about how the main cast will change but that’s not anything as solid as “no returning npcs”.

Not to mention they’ve stressed over and over that while this may be the end of the Hydaelyn and Zodiark saga, it will just be a new saga in the same world. It’ll be a big change, but not drastic as some people are saying.