I thought that this effect, whatever it is called, has nothing to do with the sound barrier?
Supersonic flow, the aircraft is not supersonic, just near it so some areas of flow over it are.
It does and it doesn't
It it technically the Prandtl-Glauert singularity, and is not always present at Mach 1 transitions. It is merely water vapor which condenses as pressure drops; exactly the same mechanism that is quite commonly observed over wings and in the spiral vortexes from their tips as commercial jets approach landing.
Four "see alsos" at the link.