hmm. Yes, The hot water is more likely to be supercooled. This means that the hot water’s temperature is more likely to cool to temperatures below zero degrees Celsius. In the cold non-supercooled water, ice crystals form and float to the top, forming a sheet ofice over the top of the water, creating an insulating layer between the cooler air and the water. This ice sheet also stops evaporation. In the hot water that has become supercooled (thus, no longer hot) the water, when it does freeze, freezes throughout, creating more or less of a slush before freezing solid.
Dissolved gasses also lower the freezing point. Since heated gas is less likely to contain dissolved gasses, it’s more likely to freeze first. Also the idea of evaporation, convection and the surrounding.