"Demon" isn't so much a proper noun in TES as it is adjectival; Daedra aren't strictly "demons" in the proper sense, but they are "demonic", fitting the definition of an adversarial, diabolical spirit or fiend, and as such men frequently call them demons.
The Fire Demon in Arena was pretty surely a daedra; perhaps a fire atronach.
More uncertain is the nature of the "Snow Demons of Kamal", in Akavir. But it's generally understood that when someone says "demon" in TES, they're referring to daedra.