The move isn’t about rejecting our white supremacist history - it’s about giving things names that are informative and meaningful with regard to the bird itself. The article explains this pretty well with several examples.
The white supremacy angle comes from the consideration that a bird that was known very well across indigenous generations as one name was decidedly named something like “John Smith’s Warbler” because John Smith “discovered” the bird and that’s what has been codefied. Meanwhile native knowledge of the same species was deliberately wiped from history by way of forced assimilation and genocide. The white supremacy bit being that whatever the predominately white folks learned or knew of a species superseded what the people who’d lived there for generations had known about the species.