Interesting post. I stumbled on this topic as I am about to put a fridge with a water line in the former location of a water heater, so both hot and cold lines are nearby. I was hoping to find a clearcut answer on which one to hook to. You all make good points, some I think more relevant than others.
I wanted to throw out another pointless fact. Hot water freezes more quickly than cold.
Can hot water freeze faster than cold water?
Given the ambient room temperature, this probably matters little, if any.