Aloalo:
There's a bit more to it than that. The Speaker, Loquloqui, is a giant lalafell statue carved out of wood that guards the Jewel in the deepest part of the island, placed there by the island's original inhabitants ('the forgotten people') back in the Fourth Astral Era. When the Fifth Umbral Calamity of Ice struck, there was an exodus from the island (which we've heard also happened in many other places, including Meracydia) to the fertile and aetherically rich lands of Eorzea. Some of those descendants went on to found the city-state of Nym.
During the Fifth Astral and Sixth Umbral Eras, various peoples arrived back on the now deserted island, some of whom were of Nymian descent. Statice likely belonged to one such settler, and is thought to have persisted after her Scholar's death by drawing on the aetheric supply of the Speaker's Jewel.
After the War of the Magi and the subsequent Sixth Umbral Calamity of Water, some of the island's second set of settlers returned to Vylbrand, bringing back with them the knowledge of Arcanima as we understand it today. This cross-pollination between Nym and Aloalo likely explains the interconnections between the various Arcanist-derived techniques.
Sparrows themselves are quite common in Thavnair and on Aloalo. Kalika was able to talk by the time he first met the second set of settlers on the island, but we have no precise time frame about how old he actually was at the time. Given his recollections, it's entirely possible that he predates even Nym, which means that he could have been a couple thousand years old by the time of his first encounter with the new settlers. It is possible that his time spent in proximity to the aetheric energies of the Jewel contributed to his unique longevity, however.
The most recent set of Aloalo's inhabitants worshipped three animal deities that they placed to guard the entrance to the temple. Performing a ritual for them is necessary to enter the temple of the Speaker. One such deity is likely Kalika. The second is Ketuduke, who is a flying whale of the variety that can be found in the Southern Seas. The third is a sea turtle, whom I don't think we meet directly. They also came to revere the Speaker as well when they discovered the temple, so this is likely a case of mythos constructed upon mythos.
Lastly, in case you were wondering if there was a point to all the fishing - the fish that lived in the temple of the Speaker had a property that protects against illness, which was used to cure an epidemic that struck the infants of the island's inhabitants. Matsya ends up gifting the fish to Vaazti, the baby daughter of Qerasaf and Mehvan.
/tenrabbits