This is my first time seeing that behavior. In your first link, it does give "2nd Exit" for southbound traffic wanting to turn left. But not in the 2nd, 3rd or 4th link.
However, at a larger roundabout here, it gives all the exits:
https://www.waze.com/editor/?zoom=6&lat ... TTTFTTTTFT
What changes the behavior? Size of the roundabout?