Those super bluebird sky days are also typically after a front with rising barometric pressure.
I have had many ice fishing days when the fishing really picks up as the sun sets. Also had days when the fishing shuts off then, too?
After sunset, the fishing typically shuts down, but then from 9 pm to midnight might be real fast action, oftentimes some of the best action of the season. I often fish the super clear lakes at night, but don't waste my time on the ice right after sunset.