You are redefining fair to mean equal. I don't want equal at the expense of fair.
Inheritance is a made up rule, and as such can be unmade without having to change the definition of fairness.
But second, age is thing, older people tend to have accumulated more wealth than younger people, even without inheritance. Younger people tend to be fitter and more attractive and Hollywood knows it. An equal playing field in the way you describe it will never be achievable by humans.
And that is why I say fairness is the most important, the rules have to be the same for everyone because that is the part that is up to us.