My understanding of the advice that you steer into the skid (point the wheels in the same direction to that you are skidding), is that once they are in that direction (gaining traction), by now turning the steering wheel (slowly), the car will follow the direction of the wheels, getting you out of the skid.
The main problem with this advice when driving on UK roads is that by the time you have regained control of the car, you have already hit something.
So the best advice is not to get into a skid in the first place; when driving on ice/snow, use gears to slow down, drive in a high gear and at an appropriate speed for the conditions.