Old ice versus new ice versus whatever. How does ice cool? First take a look at the properties of water. Water as a liquid will absorb or give off heat in a fairly linear manner. It is when water changes states that it requires additional energy. Since we are talking about the solid state, ice, lets dwell on that. As the liquid water water cools you have to remove a certain amount of energy from it. This is rather linear. Once the water hits 32.1*, it takes a lot of energy to get it to 31.9*. That transformation of water to ice is what gives ice it's cooling properties. Changing of the state, liquid to solid, is what makes ice effective. As it goes from solid to liquid it is now able to absorb a lot energy. In other words it will cool your beer. Minerals such as salt will only affect the temperature where this transformation takes effect. Salt will lower the freezing point. Stick a thermometer into a mixture of ice and water and it will be 32*. Add salt to this mixture and you can lower the temperature. Thats why in the old days rock salt was used when making home made ice cream. It allowed for the temperature to be lowered and causing the ice cream mixture to hit it's freezing point.