I legitimately cannot conceive of any situation where I would care what kind of drink a candidate brought with them. All I care about is that you make the right shapes on the white board and don't give Trump supporter.
I get recruited a lot and occasionally agree to do an interview just to stay on my toes, and I am 100% going to bring a mega-gulp sized ice coffee, and wear a tshirt that says "Iced coffee fan" the next time I do this.
Actually I might order catered iced coffee for the entire office.