The red flesh thing is interesting,in other fruit it is a hereditary trait,probably came from one of the parents,however if it is a recessive trait perhaps neither of the parents will express it.In apples for example the red flesh trait tend to show up in the leaves and bark as well as the fruit,it's quite cool even though we don't know the mechanism,does this fig have pink leaf stems?

Charlie you are right, the flash look similar

haslamhulme no, it doesn't have pink leaf stem

This fig is one of the last 2 on the tree.  They were covered with organza bag and we had few days of hard rain. Today when i went to look I saw the fig started to rot. I cut it even if it was not ripe. Here are the pics:

 
This is the side who started to spoil  

I peel the skin and you can see the pink is bleeding to the surface


 
This was the part who was riper 

Recently on another site I saw a Pt. Tresa fig and it also was pink

Didn't think anyone had tasted that dumb fig yet lol. I like the sound of it, but I'm not paying 400$ for a stick with one root and two leaves.