> Far before some one is rich and poor, they are good and bad at playing the piano, writing a book, programming or anything for that matter. Wealth inequality comes far later.

If you are poor enough, chances are fairly good you will never get to touch a piano to even find out if you can be good or bad at it.

So no, it does not come far before someone is rich and poor. If you are poor, a whole lot of avenues close off to you early regardless of skill, and the odds of you remaining poor is overwhelmingly higher than that you will be able to overcome it, irrespective of how hard you work or how smart you are.