That is pretty recent. Ethiopia would probably be the best title then, as it is what Ethiopians seem to want...I recall reading some years ago, in a Time magazine in a doctor's waiting room, that a poll of Ethiopian citizens conducted during the government of Meles Zenawi (who led the coalition that overthrew Mengistu Mariam's one-party dictatorship in 1994, which itself overthrew Haile Selassie's Empire of Ethiopia in 1974, and Zenawi established a federal, SOMEWHAT democratic republic with him as Prime Minister), who died in 2012, of several names that each common citizen of the country preferred their country be called, that "Ethiopia" got a plurality of support in the poll.
Still, that doesn't mean that Abyssinia is not a more idealistic choice for a general history of Ethiopia (perhaps with less attention on modern Ethiopia).