Originally Posted by Slartibartfas

Sorry if my post was unclear above.

They "could" not only, they do. Currently a large scale process of reorganizing the entire nomenclature based on genetics is on the way.

From Bacteria I know that such a nomenclature is already replacing the old one that wsa based on physiological and visible features instead. I am pretty sure, something similar is also currently taking place in the other fields of biology.