Thanks frog, I expected you would come through with good information. I'd wondered why the flute was included with the reed instruments since it doesn't have a reed. But that was my mistake, it belongs to the broader woodwind family.
For instrument families the real confusion comes with the piano. Some define it as a string instrument while others label it percussion. Guess it can be either.
After listening to that Herbie Mann album again after many years absence I think I understand why I no longer have it. I liked the "sound" of the bass clarinet, but agree the playing was kind of insipid. That's interesting that something can sound pleasant, meaning nice to hear, but not all that enjoyable or stimulating, meaning I want to hear it again, if that makes any sense.
Yes, Dolphy's examples are a whole other ballgame.