Just like you should not get your tire in a rut on the road, like a train track, you can't get through a deep rut in the ice with any kind of studded tires. The tires have great traction on the ice, but the tire gets in a rut going close to the direction you are going and the rut grabs the tire. If the rut is deep enough and solid enough there is nothing you can do about it. That is NOT the tires letting you down.
Too bad the ruts can be hidden by snow.