More pictures of the fruit.
I tasted both of these. The one that is cracked was nicely ripe. The other wasn't quite there, and was only slightly sweet. The cracked one was good, it tasted like a nice sweet peach, but without the tanginess and bright flavor you get in a good peach. It was very sweet, very juicy, but not overly "honey" ish. Lots of seed crunch in this, but the seeds are small and hollow-ish, they didn't add a nutty flavor like you get with some figs. Insides are like jelly, no texture at all other than the seeds. You could probably slurp the insides out with a straw. Skin is very thin and supple, prone to cracking when ripe. The eye on these is open at approximately 1/4" (~6mm), forgot to shoot it. I noticed two of the immature fruits (not pictured) that had honey and/or oozing at the eye of the fig, but didn't check to see if it was hard, sappy or juicy.
Still entertaining guesses if anyone would like to confirm previous suggestions or venture a new guess.

