To make money or to earn a living? You can make money fast winning competitions but you can't live off it. If you don't win then what do you eat? Doing concerts all over the world? Yes that is big money, but are you ready to do that? You need quite a large repetoire to take that challenge, and you also must know how to sell seats for your concerts. You also have to be good.
For me as a professional musician I don't categorise how I am a musician. Like I do not say, right I am going to do concerts all my life so I am a performer, or I don't say, right I am going to teach my whole life so I call myself a music teacher. The reality is that most musicians are both, but the intensity of which side you are working on is all different. I currently do about 1 month of peformance to 11 months of teaching and my own study but that has been as far as half and half.
If I need to raise money I will do a concert. That can get me $8,000AUD in pocket at the end of the night for big concerts(800+ people), smaller ones(200ish) can earn 1,500-2000 if the seats are sold. I could easily earn $50,000 a year on peformance alone, but it is a great deal of work. It is no longer music, it is business, and you have little time to think about your music and practice when selling seats for a concert. You see, selling seats has nothing to do with how well you play piano, its all buisiness and it is exactly like trying to sell a product, no difference. Except the product is yourself, and YOU must SELL yourself, that means giving people a taste of what you product is.
This is the reality for 99.99% of musicians. The other 0.01% who can use fame to project their career still a lot of hard work on their behalf is needed (although a lot get spoonfed with managers and have little idea how to do musical business.) The reality is that a musican has to balance their own personal musical study (which has nothing to do with money or fame, just their own desire to learn music) with a musical career. Fame is relative though. For example if I do a concert in my hometown people will come without me even trying, if I go to somewhere in... Russia where no one knows me, I will have a very tough time selling myself.