I guess it depends on what you think of by "BB". There's no real singular definition for it, it's just a title used by some vendors to emphasise interception of behavior of programs targeting "malicious behaviour" and accuracy to set a difference of a HIPS system.
So if you consider exploit mitigation and anti-ransomware combined as meeting the expectations of a "BB" then sure it's a BB, else it isn't to you.
I wouldn't say it's a "BB" in the sense of vendors like Emsisoft or with Kaspersky's Application Control but I'd say it is a "BB" in the sense that a "Behavior Blocker" will block malicious behavior... Since prevention of exploitation and ransomware activities is blocking malicious behavior, so to me yes it counts.
Case by case basis, opinionated.