Sorry, but then EVERYBODY in the world is a 'musician'...
You would think it hardly worth inventing the word, if that's the definition. Might as well add everyone who has an iPod or a radio, then, as well. I mean, the piece of gear in their hands makes music, so that makes them a 'musician', too
Maybe being a musician is like the definition of 'art'... I don't know what it is, but I know it when I see it..!