I just prefer working with hot water all year round....
As for working on freezing cold days with ice,snow on the ground I usually have the day off...
At one time, I would work through snow on the ground with cold water without a second thought. Just sprinkle a little salt down over wet pathways to prevent a slip hazard was the way to go.
These days, cold and old age aren't good buddies. I know if I slip and fall and break a bone, that will be a long recovery time. That's not worth a day or two's lost earnings.
It's the same entering an estate that has untreated roads. Our area is rather hilly, so an accident will cost far more in future lost earnings, insurance excess, etc. than a day's lost earnings.