RTF is a global modification that replaces all towns in the game.

I suggest renaming:
Ruhi - Gamayuns
Snowy Eagles - Gveykhirs
Birds of Thunder - Birds of Storm

I don't see the point; people will have questions about who the Gamayuns are, they'll Google it, and it's a cringe-worthy, wingless, legless bird) + it doesn't sound as intimidating.

And Gveykhirs also sounds cringe-worthy because of the similarity to Gwaihir - the king of eagles in Tolkien, it's like calling mages Gandalf.

Well, Birds of Thunder/Birds of Storm are almost the same, of the two options, I would rather choose the one that references the third game.