Not to say that this wouldn't happen. Location is a big factor in ice fishing. You can't catch fish if they aren't there. And I have found it doesn't pay to wait for them to arrive. Drill a lot of holes and use a good sonar to locate fish and work them with different combinations until they either start biting or they force you to keep looking.
Lure choice is totally dependent on one thing.
When fish are on the bite you should use bigger, flashier lures, to attract fish and trigger bites. When the fish are nuetral or even negative use smaller lures and cut way down on the action. Sometimes a lively minnow's tail movement, as the bait and lure are resting, will be all that's necessary to get a fish to inhale the bait. I find color to be important. The water is usually much clearer in the winter and colors tend to be more visible at greater depths.