Well, the name has stuck on consoles.
The SNES was often called the Super Nintendo.
The N64 was called Nintendo 64.
The NES/Gamecube didn't adopt it as well, though.
But I dunno. It's kinda like names.
Some people's first and last name just roll off the tounge, like mine. People always call me by my first and last name.
Some, though, don't have that rolling.
I guess Nintendo Wii rolls off the tounge.