Hi Nichole,
I have only been growing figs for 1 year, I asked myself this question just yesterday. Most of my trees are in 5 gallon buckets or 10-15 gallon nursery pots. It was a pretty nice day for us here in Western WA yesterday, so I had my barns side door open. So my figs could soak up some well needed sun. I did a quick check and almost all of my figs had Brebas.
My trees are still a bit on the short side . (all under 5ft.) So I am hoping that if I take off all of the brebas , the trees will focus on growth instead of fruit production . I have done this before on all of my other fruit trees , especially on my Apples . I learned that even with proper thinning, branches will become overladen with fruit and self destruct.