But it then quotes another source that "the Greek Church authorities, supported by the Byzantine emperors, burnt eminent classical Greek poetry, including Sappho’s works, and replaced the burnt poems with those of Gregory of Nazianzus."
Now, there are no other sources that the author knows, and there is no any other source claiming something completely different. And knowing the general context, at that time there was no need to actually burn some works to prevent them to survive. As the books were not printed, somebody had to copy the book letter by letter. Therefore somebody must have "preferred her work disappearing (or at least not being saved)." The only thing we have to figure out, who that "somebody" could have been: effectively all the books that survived through these times were copied by the monks or for the religious rulers, and we also know quite well what their preferences were.
Therefore, the ending of the article: "Was it the flames of Sappho’s burning love that ultimately put her own work on the bonfire?" is very, very mean. It is virtually constructed to sound like blaming a victim.
If you've just casually read the article I'm not surprised that you may have missed that. That's what prompted me to speak in clear words, which is obviously considered "offensive" for some people here, even if the events happened more than 1000 years ago in the different context as today and we are only discussing that. I consider that absurd. But maybe that's the reason why the article author also made that inappropriate ending.
The apparently "offensive" sentences I've written here aren't different from the sentences from the bestseller works from 300 years ago. It's obviously not only progress that we witness in our times.
The only thing we are not 100% sure is if the book techically disappeared in flames. What's behind the disappearance is really clear. Moreover, we can consider how much we can trust that claim "the Greek Church authorities, supported by the Byzantine emperors, burnt eminent classical Greek poetry, including Sappho’s works, and replaced the burnt poems with those of Gregory of Nazianzus." It is the only specific claim we have, so it is must be treated as such.