"It is true that your body will work to raise its temperature to 98.6 degrees Fahrenheit, but it will only expend about eight calories to do this. Eight calories is the equivalent of a small pickle."
Ah yes, but is the marginal gain from drinking a coffee actually better than the marginal gain from drinking iced water? I know which I would prefer to drink, regardless of its ability to increase calorie consumption.
"It is true that your body will work to raise its temperature to 98.6 degrees Fahrenheit, but it will only expend about eight calories to do this. Eight calories is the equivalent of a small pickle."
https://uamshealth.com/healthlibrary2/medicalmyths/doescoldwaterburnmorecalories/