Akatosh's Dragons are not Akaviri Dragons.
Akaviri had Black and Red Dragons, I think lore states the Tsaeci killed all the red Dragons and the Black Dragons fled to the Ka'po'tun. there are also Dragons that went to Morrowind, and -then- left somewhere else.
But these Dragons by lore have nothing to do with Akatosh's Jills.
also I do not think these Dragons are Jillls in Skyrim because the Jills where there to mend time and keep everything together, not burn the *** out of everyone
The Dragon born was given a soul by the Gods
Dragons so far aren't Gods, unless Cipher 8 is spot on and the Dragons are actually Aedra.