Some scholars dismiss the story as fictitious, which it probably is.

Would that be the story said to be contained in the song, amnd aboutb how the song was used, or the story about how it was collected in a few variants?

In other words does that "probably" mean that HB Parks is accused of fabricating the story and the song, or does it reflect the way that folklore and folk tales aren't always literally fact - which doesn't necessarily stop them being "true".