Moving the green bone with image compensation results in the blue circle moving.
When you move the green bone with image comp, its child bones (the red and blue bones) are moved. The blue circle is weighted to the red and blue bones, so it moves with those bones. The green and red circles do not move, because they are weighted to the green bone.
If the attachments are regions instead of meshes and you move the green bone with image comp, both the red and blue circles move with their bones.
This seems to make sense.
Moving the green bone with image compensation and bone compensation results in the green and red circles deforming.
This was a bug, should be fixed in 3.6.03-beta, available in a few minutes.