My Cat will only drink fresh spring water that is cold as well. I make Ice Cubes from the spring water and drop a couple in her bowl after filling to keep it cold for a couple hours longer on warm days.
The first time I heard of someone putting ice cubes in their cats' water I thought it was nuts. But lo and behold, it turns out MY cats love cold water!! But it makes sense: cats like fresh, clean, good-tasting water. In the wild, where do you find that kind of water? In a warm, stagnant pond? No. In a cold, flowing spring. Cold is the way to go for cats.
I have a cat that only wants to drink from a sink faucet. I discourage this, although for years, he looks at the sink lovingly, and will give the faucett "head butts" constantly. I think he was a plumber in one of his previous 9 lives.