Do you know any examples of the following three cases?
Model names that say something about the folding process of the very model. Something in the lines of Bird-base Dragon or maybe Box-pleated Fairy. This are just hypothetical names to give you an idea.
Models that deliberately have no name. In other art forms it's common for an artist not to title an artwork. In that case, the art label usually ends up saying "untitled". Maybe you know of an origami model in a publication that says "no name", no title" or "untitled" instead of having a name. It's possible that there doesn't exist a model like that but I must first ask before I discard the idea.
Models that have different names in different publications, even though they are in the same language. I'm asking here for modern models, NOT traditional.
Regarding that last case, if you have an idea as to why does it have more than one name, I'd love to know as well.
The only model that comes to mind is Robert Lang's "KNL Dragon" from Origami Design Secrets, which was designed using techniques from two other designers.