I love these kind of mysteries. Those fellows that make a case for two clarinets in a chase seem quite plausible to me. You can hear the change in timbre and volume from the two bar sections. Maybe it was just one guy just playing a bit louder and moving his horn nearer the mike when he played higher up, but it sounds like it could be two players to me.
But that's not the most memorable moment of Cryin' and Good Man. It is surely because of the two Bix solos where he is at his most enthralled and under the sway of the great Joe Smith.