Of course parents want to give the best to their children, it's an entirely natural instinct. They want their children to have better chances than other people's children, the best education, the best jobs, and so on. Of course they do. Nothing wrong with that. However, the problem is that the effect of that on society as a whole, especially across multiple generations, is to make things considerable less fair and meritocratic. Your chances in life become determined not by your own abilities, but by your parents position. I believe everyone, whether born to a single mum on a council estate or a heritatary peer who owns thousands of acres of country estate deserves the same chances in life. Now, of course, there is no real way that could be possible without the most abborant injustices but we can, and should, try to construct a society in which their chances are as equal as possible.