TBF, "burnt"+"face"=/= "blackface", as it wasn't implied it was makeup, but simply their natural coloration. From your link: (emphasis: mine)
The Greek name Aithiopia (Αἰθιοπία, from Αἰθίοψ, Aithíops) is a compound derived of two Greek words: αἴθω, aíthō, 'I burn' + ὤψ, ṓps, 'face'. According to the Perseus Digital Library, this designation properly translates in noun form as burnt-face and in adjectival form as red-brown.[10][11] "As such, it was used as a vague term for darker skinned populations than the Greeks since the time of Homer.[note 1][12] The term was applied to such peoples within the range of observation of the ancient geographers, primarily in what was then Nubia (in ancient Sudan). With the expansion of geographical knowledge, the exonym successively extended to certain other areas below the Sahara. In classical antiquity, the term Africa did not refer to any part of sub-Saharan Africa, but rather, in its widest sense, to Ancient Libya—what is now known as the Maghreb and the desert to the south.