The comparison to Mozart is an apt one, in that in Mozart's time, music was not the free-form, devil-may-care kind of exhibition it is today. Music was a trained craft, where a master taught an apprentice how music works. Things were considered 'bad' and 'good', and there were rules. Straying from the rules was not encouraged, it was considered a lack of discipline. If one could produce the same exact piece of music every night, he was a master musician.
In this metaphor, cooks are the musicians. They do exactly what they are supposed to do, consistently, intentionally, and with skill. Their passion is in subduing their egos and respecting the menu/music, for the benefit of appreciative customers/listeners. Not everyone can be a composer. You can spend your entire life playing music and never create. You can be a master composer, and a piss poor musician.
They are not the same thing, because they are simply different functions. The trouble with defining the line between "Art" and "Craft" is that there is a solid definition for a craft, or a trade, and the concept of "Art" is not only enternally debated, but there are folks such as Andy Warhol and Banksy who have shown over and over that Art is everything and nothing--it is so perceptually based, that not even the artist can know what it is. It is a shared illusion.
Art is camaraderie shared by conscious beings, and reassurance that we are not alone.