Yes, fertilized fig seeds are how new varieties can become. One only needs to look into Condit's, and LSU's breeding programs for examples.
But like Barnhardt said above, one would have an extremely small chance that the new fig plant would be good enough to propagate it. I too have my doubts about those seeds referenced, I would think they could get the picture right.
Personally, I would love to try seeds. What a lesson in patience.