Earlier quoted context omitted.
The point of the OP was IF the rich kid works just like the regular kid, then he'll still be ahead.
Hard work is very different from skills/talent or luck. The OP is claiming that the rich kid has a different/better personality skill set from the regular kid based on his wealth, and I disagree with that. I believe the rich kid has more opportunities, yes, but I don't believe rich kids are bred to have a better personality to take advantage of those opportunities. Therefore, it falls upon our society which looks at…
Consider that a rich kid's parents will likely spend hundreds of thousands of dollars (if not more) on their child's education, on everything from the best preschools to a top prep school to an Ivy League university. Do you really think those schools offer nothing in exchange for all that money, aside from some better social connections and big names on someone's resume?
It's very, very difficult to reduce the impact of a lifetime of educational and social advantages down to something like "different/better personality skill set," and I think in doing so you are woefully underestimating what kind of benefits those advantages bring.