Cool water? What about freezing water in the winter?
Assuming your pipes are between the tap and the water heater, and the pipes run indoors, the water temperature will be close to room temperature - nowhere near freezing.
Which was a problem in NL because the bathroom of the airbnb was not well insulated. And there wasn't a hot water option because... NL.
I am still waiting for the freezing water to come out of the tap.