Solution 9 - Unfounded Speculation!

[SannaR]

I do think you're on to something, but I just wanted to point out for additional context that Belah'dia (and/or whatever ancient civilization previously built the temple at Qarn) held Azeyma as its patron (and Nym had Oschon, but that's less important). All of the cities with specific divine patrons are also exclusively in Eorzea and all worship the Twelve, so I doubt that a city in Tural would be dedicated to Azeyma specifically but rather the broader syncretic concept that spawned her and Azim, namely Azem themself (probably by a different name). We already know Azeyma's connection to Azem (anticlimactic and utterly uninteresting as it is), but we have yet to see what Azim's is, and like you said I think all of the sun imagery shown in promotional materials and in-game text combined with the matching House of the Crooked Coin design clear on the opposite end of the world is almost certainly a meaningful connection. Or they're just throwing out red herrings to generate community buzz, they've already done it once promoting this expansion...

There is some Azymea worship outside of Eorzea. Or at least was. The church like structure in Azys La is from Meracydia and has Azymea symbols on it.

[Vallavia]

There is some Azymea worship outside of Eorzea. Or at least was. The church like structure in Azys La is from Meracydia and has Azymea symbols on it.

This has actually been addressed in this thread, which explains essentially that the Cathedral was dedicated to Sephirot and that Eorzeans later appropriated the sun symbol the Meracydians used for him to represent Azeyma.