Back many years ago, we knew a Soviet emigre who always introduced himself as Dr. Kush***** (more letters for a real name). And, before we had even met him, someone else told us, "He always introduces himself as a doctor but he's only got a PhD equivalent in a non-medical field".... As far as I know, Oscar winners can call themselves Academy Award winners, even if their particular Oscar was in an obscure field or a Student category, for example. And those who earn doctorate degrees are entitled to use the honorific term "doctor", whether they're a physician or not (while most with doctorate decrees choose not to decorate themselves with such a title, generally unless they're a PhD). ..
As an aside note on titles, in Germany an engineer with a masters' degree can call himself/herself Diplom-Ingenieur (abbreviated to Dipl-Ing, as something one puts on his business card). The difference here from the US - but this was the same as in the USSR and other nations that copied the German system - is that in order to get the diploma, one would have to do an additional presentation on a given topic to a cadre of professors, while fielding their questions. My father's Masters in Engineering was diploma defended as well. Someone told him he should put it on his business card and resume as well. He just shrugged it off. Because then you'd have to explain the whole process to Americans. In English.