I finish off coffee left over in a cup sitting on the counter all the time. Room temperature. No sugar. Don't like iced coffee at all. Why? IDK. It's a matter of degrees I guess.
Did you have granita when you were abroad? Friends from Peru and Bolivia had drinks that are mostly milk with a little bit of coffee added. I'm not certain I've seen it frozen...as you said, more like a frappé product. I always drank hot tea growing up. My mother was British, so it was always made from A&P brand loose tea. I didn't have my first cup of coffee until I started working at age 18. Then I drank it black (I take a little sugar now), but hot pekoe tea is always with cream & a little sugar...and it's never from tea bags if I can avoid it. If I get tea bags when dining out, I put two of them in the cup of water, put the saucer on top, and let it brew for a while so it's a cup of tea. I see folks get a second cup out of a single bag and wonder what the point is...just put in food coloring and it will be the same. The only iced tea I recall from my childhood is when the fad of Sun Tea hit. We used tea bags to make Sun Tea. It always seemed so stupid. If we lived on a hot sunny desert it might make sense. But we were in the mid-Atlantic and had a functioning stove inside. What's the point? It took forever. No Vitamin D was being imparted. And it seemed so unsanitary. I also have a variety of loose Asian teas on hand...I think I have maybe 12 different types. (I went through a phase.) I still drink them on occasion. Those are always taken hot and black.
I can't do that. Often, if I am busy with something, I will waste a cup of coffee by letting it get warm. It has to be hot, and I am seldom satisfied with reheated coffee, although I do that sometimes.
When microwaves first came out, my older brother would brew a pot of coffee on a Saturday morning, turn off the warmer, and heat each cup in the microwave throughout the day. Microwaved coffee tastes about as bad as coffee that has been cooking on the warmer all day...it really tastes as though it's been reduced.
We used to do that, too. It always seemed OK to me, since removing the heat kept it from getting gacky.
I've been doing it lately rather than dumping the couple of cups I've got left, and it just seems to taste "cooked." Who knows.
Well, it's definitely not fresh brewed, but better than no coffee I suppose. We used to have to watch our pennies so it was sinful to pour out perfectly good coffee.