i also like it more then Arc or gem I can imagine Sony calls it that way in the advertisments.
But seriously it doesnt matter. Or do you say while gaming can I have the Dualshock please. All people i know just say give me the controller or where is the damn controller no mater how the device is called. Dualshock is the only name of a controller which is known by some people.
In the end its just for marketing purposes. PS move describes everything: move and playstation = control games with movements.
also Wii mote and PS Move sounds similar so people do know what its about. Like the wii just better graphics. I think copying nintendo was a great idea from Sony.