Agree, the chime on green light does not distinguish between a green turn arrow and a straight ahead round green light. There are often two sets of traffic lights. One for straight ahead lane (middle lane) and one separate set on left side which also has an additional left turn light. The chime will occur if any one of the set of traffic lights exhibit a green.chime on green light
This means if you are on a multi lane road with more than one set of traffic lights, a chime just means one of the lights became green but it may not be for you. The car does not distinguish between greens irrespective of the lane you are in. If it can see a green it will chime.