I don't know my figs, but for ID, it's good to show the most typical features and the range of morphologies. So something like
- typical first leaves of the season
- typical normal leaves
- young shoot
- typical fruit
- atypical fruits in a lineup
- how heavy the breba crop is
I'm not saying these are all necessary or someone here can ID based on all these. It's just some characteristics I think might distinguish fig varieties. But maybe the one you have is a good variety that's not been named by anybody.
I'm sure there are good fruits out there that are better than the named varieties and that the rest of us don't realize we should care about them. We're trained by the "marketing" around named cultivars to be skeptical of anything unnamed.