My wife's family wasn't rich, but the parenting attitude was "whatever you want, follow your heart". The kids had painting, sculpting, pianos, guitars, drums, dance lessons, soccer, karate, foreign language tutors, and anything else they desired. As soon as they got bored or frustrated, they quit and moved on to the next thing. The hope from the parents was if they were exposed to enough stuff, they'd find their passion. Of the three kids, only my wife has a steady job, and only because I nearly broke up with her when she was job hopping while we were dating. The other siblings quit their jobs at the first sign of any real struggle and move back in with their parents. I believe it's because they've never been forced to work past the uninteresting or difficult parts of any hobby or job in the past.
I don't know where the line should be drawn between giving kids every opportunity to find their passion versus making them stick with something they may not actually enjoy. I hope I figure that out before I have kids.