I agree upon the success of your parents. It only makes sense that say a 'rich' or 'successful' parent that knows how to budget, had a better education, a strong will to persevere, and/or is extremely kind will pass on those skills of success to their children. Does that kid deserve to have the advantage? I'd say yes because it was the parents who created the life of their kid and what the parents want to do with their money and time, if that's support and educate the life they created then should be able to do that. In U.S. with public education, financial aid, and grants it is about as equal as possible monetarily but if a good blacksmith makes the best swords their son has a teacher around 24/7 that can teach them and make their son the next best blacksmith - but that applies to every single profession, but in general just budgeting or the skills I mentioned above would be enough to succeed in almost any profession, and bonus points if they have multiple of those skills.
Parents provide more than just moral teaching. For example, when kids screw up, wealthy parents can buy them second chances and the appearance of moral rectitude — when in the same situation a poor kid would be ashcanned as a dissolute moral failure, whose parents didn't know how to budget, didn't pass on a strong will to persevere, etc.
