I expect my operators to exersize some logic. If I miss calling a cue that coordinates with something else, they should be able to recognize the need to think on their own and take the cue. It just doesn't work if the lighting guy take cue L214 on cue and the sound guy doesn't roll the thunder cue S215 right away, even If I miss calling it.
On the other hand, stand alone events like show music and lighting scenes should be taken on cue, from someone who is keeping track of what's going on. I once jumped a cue bringing the lights back up after a scene change in black. The SM had just jumped all over the stage crew during rehersals for taking to long to do the change. He only wanted to hold black for a certain amount of time. (otherwise the audience goes to sleep in the dark) "30 sec black, 30 sec black", we heard it over and over. Half way though the run I'm waiting for the GO cue to bring back lights and after 90 sec I decide I must have missed the cue in the chatter on the comm
circuit. I take the cue on my own and bring up the next scene.....There's the SM and one grip, on all fours, asses to the audiance, trying to fix something on the set that broke during the change.
MORAL OF THE STORY: Listen to your SM but be smart.