To put the matter into an historical perspective, here is the background to the four words I listed earlier. As nouns - ie specifically the name given to the mark / - both oblique and slash were originally Americanisms, first appearing in Webster's Dictionary as such in 1961, some time before the Internet. Virgule and solidus date back in English to the 1830s and 1890s respectively.
The business of 'correctness' today is based on how widespread the usages are. Virgule and solidus are virtually unknown now and, since American English has monopolised language in computing and the Internet...program as opposed to programme, for example...we are more or less obliged to use the commonest one of their usages. That, of course, is slash plus forward or back(ward) as appropriate.