P,
I can't address the BB very well as mine is an air layer yet be be sent.
I can address the Purple, however, and have done so on this forum a couple times already as I think it's a serious contender for fig of the year -- in my collection at least.
I have no idea what Bass's new find is but BP definitely does not bring Brunswick to mind or the Red Lebanese Bass sells. I've not tried a Haikel Led nor do I know what your Led unknown is like.
THe BP I grew in a 7 gallon pot in zone 7 in Virginia tasted unlike any fig I had to compare it with. I had 70 varieties properly ripen figs this year and the BP stood out as unique in it's flavor profile. It tasted strongly of cane sugar and reminded me of the days when I had a piece of sugar can to occupy my sweet tooth. There were other flavors involved but overwhelmingly my BP's were sweet in a way that was unique.
I'm not sure how many folks would appreciate this fig as it seems it would be pretty polarizing, If there are so many people who don't like light figs, for example, I can see the flavor of this fig being a "love it or hate it" kind of reaction. Great jelly beans vs great chocolate truffles or some other more articulate comparison. Or maybe a matter of "being in the mood". As for me I love the flavor and will ad several more several more to my collection.
P, knowing your taste in figs, I think this ones a "must have" for you.