Will preface by saying that my fig trees are in a hoophouse near Kansas City, Missouri. Last year the main crop on all three trees had finished ripening while in ground trees in other locations were still being picked. I don't remember what month or day I finished picking.
This year I picked my first breba Italian Honey on Wed., June 11. It was so-so, a little 'green' tasting, mildly sweet. Picked two more on Saturday and the large one was a hair shy of 2 ounces. It was dry and not so good. Left the other one sitting in a cup until this morning. It was sweet and soft and tasty. Am going to let the others ripen longer on the tree before picking. I will say that the main crop is better, but the breba crop is good when you don't have any other figs to eat.
When I tried a breba from Violette de Bordeaux, it was much like paper, dry and tasteless. They looked about like they tasted so I pulled them all off. That was about a week before the Honey started to ripen.
There were no brebas on the Hardy Chicago. All my other trees are too young for brebas. I do have a small King and a couple Texas Everbearing that I will be watching with interest to compare with your information.
Elizabeth