If the fish are stressed by it, i would expect there to be visible signs. I have programmable lights that have the same feature, i have put it on in the past, the fish dont seem bothered by it but i dont like it personally.
Is your tank planted? I would be more concerned by plants not getting a good colour spectrum or intensity of light. Even low demand plants need adequate lighting and i dont think the colour LEDs provide sufficient light.
Perhaps just have the colour rotating lights when you are home and enjoying looking at your aquarium?