I'm almost as lost as you are as to this, but I'm pretty sure the use of cut is directly linked to the cascade badge. Unfortunately it is hard-coded this way and I don't think anyone has figured out how to change this behavior.
BUT what you can do is edit the sprite for the badge and the text to be the viridian city badge, then give the edited cascade badge to the player using
(assuming you are using FireRed)
Hope this helps.