In my campaign, the Azlanti were advanced. That's why the Aboleth wanted to destroy them - they had become too powerful for them to control. I like to envision ancient Azlant similar to the Marvel Universes' Asgard.
I also compare them to Kryptonians - live births hadn't occurred for centuries and you were simply created for a purpose. Great adapted story arc.
I also have decided that all the beings in the Stasis Fields are, in fact, pure-blooded Azlanti, just waiting to be woken up. There was a selection process that occurred when they realized their world was doomed.
So yes, if your character could have logically survived Earthfall and somehow survived the intervening 10,000 years, play a pure-blooded Azlanti. Just surviving Earthfall probably granted most of them a mythic tier or two, but you don't have to introduce that.
Remember, it's your game; do with it what you like.