More to the point, where does this bizarre cult of the "artist", creating works of genius in complete majestic isolation from the governing realities of life in the real world, spring from?
It's been around since the late 19th century, at least: http://en.wikipedia.org/wiki/La_boh%C3%A8me
But Mozart wasn't really treated like a genius working in majestic isolation. Famous and popular maybe, but that was it.
So I'd say aristocrats were subject to culture in this way, as well.
There's a similarly odd attitude to learning in some sectors of academia; from one perspective, education is a worldly enabler -- and from another, it is an end in and of itself and any hint of application to base commerce is positively contemptible. (MBAs versus classical philosophers, so to speak.)
The idea that art is disconnected from commerce doesn't apply across the board. Coco Chanel or Karl Largerfeld create(d) costumes that are certainly revered as works of art -- but they weren't expected to hold base commerce in disdain: in fact, their art was their business and their business was very lucrative indeed. Their sector (haut couture) was somehow exempt from the usual rules ...
I hypothesize that we're dealing with a cultural relic of the age of aristocracy. To the nobility who expected to inherit wealth, having to work for a living was a symptom of poverty: therefore it must be denied at all costs, which meant that anything they engaged in must remain impeccably untainted by money-grubbing. Anyone in such a culture with ambitions to better themselves had better play by the rules ... and so the more elevated the culture, the greater the distance between cultural activity and commerce. An exception could be made for couture -- aristocrats have employed tailors for millennia, and the more expensive and extravagant the tailoring the better -- but couture wasn't traditionally a career that aristocrats might enter. Academia or literature, on the other hand ...
And the aristocrats? Their descendants are still with us to this day, in the form of the hyper-rich -- and major patrons of the arts fall in this category.