I like, and use the term "iced cold brew" for serving cold... not sure about serving cold without ice... In that my first introduction to it, the person would be taking it from a container in the fridge, adding some water and microwaving it to heat it up.

After trying it, I liked it a lot... I always drink coffee over ice (usually with a lot of cream and sweetener), as I'm not so much a coffee fan as a caffeine consumer a few times a month. I like the more mellow taste of cold brew.