They are similar but to say that they come from The same ancient mother tree ,it will be a mistake.
You see some of these cultivars have fig mosaic virus some are healthy,also,some resist better to cold due to better adaptation,some do not.
So if you have one cultivar,that do not grow well in your area,try some other cultivar related to it with similar fruits,and you will be surprised of the different results,and size of harvest.
That is because of the different location,and climate,that it came from and adapted to.
So tho,it appear I am contradicted myself,the answer is:No,they are not and do not perform the same.
Maybe they were,2000 years ago,but time and climate where they were grown,made them different,today,because of the adaptation,they needed to acquire,in the fight for survival, in the new locations,they were taken to be grown by man.
I,Can't make Apricot,fruit in NJ,but I can Make Fig do,because fig is much more adaptable than Apricot.