Good question:
In my opinion from observation,the first fruit that appears ,at the node where you pinched off,grow like a persistent breba in shape,possible sex of inside flowers.
The following fruits that will grow latter up the new branch are mule, on a common fig that does not need pollination.
Of course this observations are only for self fruitful ,common fig trees,grown outside of fig wasp area.
Mule fruits grow ripe without need of pollination.
If the persistent breba had a chance to be pollinated,it will grow viable seeds,if not it will get ripe anyway,and it will have a different shape usually more elongated and larger than the mule fruits..
One more note:Fig tree is very diverse in mode of life .fruiting etc,and nobody really figured it out completely.