I remember using the term "smartphone" long before the iPhone. Devices like the BlackBerry, Windows Mobile and the Treo: these were the original "smartphones". However, these guys are a league separated from today's devices. As I consider it, the main difference seems to be accessing the web. Today's smartphones interact with the web as well as desktops, or closely so.
The modern devices easily seen mis-named in comparison. I wonder of a new name is justified? Well, who am I to decide? Plus, even if I were to craft the most brilliant name, would it get traction? Would it get adopted?