The article is being too generous to these accounts. Here is an example:
https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Cassius_D...In this account of the relationship between two men they are termed in quotes as "husband" and "wife" to imply sarcasm . They were not literally considered with seriousness to be married by their society the way we consider men to be able to do to each other now.
Marriage, in societies where it existed often served two functions: binding families and providing for the legal rights of children. Unions of lovers did not do either of these.
Many ritualized unions of a same-sex variety in history were of the latter type and those of the former would not likely have been seriously recognized by the outward society. There isn't a strong record of that anyways.