Here is an alternative design for the designers to consider if they are so intent on having bright, sweeping white circles.

  1. Just dim the icon when it isn't ready and include the count down digits. In the last 2 seconds before it is ready, do your white circle animation. This will attract you to the icon at an appropriate time, instead of distracting you all the time. For those who understand lag and want to get a jump, the shorter duration of the white circle sweep will allow them to "jump" conclusion with more precision (fire at 9 o'clock for example, instead of fire at 11:45).
  2. Don't do the circle animation on GCD abilities. If needed, add a single element that can show GCD time remaining