Serious question here:
How in the world can ice be different temperatures? Slow melt ice?
I can see where shape of the ice (block vs cubes) could make a little difference, but ice is just frozen water. Once that water reaches 32 degrees it turns to ice. That ice whether it stays in the freezer at 31 degrees or -100 degrees is still ice and no chemical change takes place after 32 degrees because the water molecules have already frozen
You take the same ice out of a 31 degree freezer and a -100 degree freezer and place it out in the sun, they are both going to melt at the same rate. If there was salt or something mixed in with the ice, the ice would be colder because it would take a lower temp to freeze, but it also would start melting at a higher temp so would be counterproductive.