Headstarts come in various guises.
Money certainly isn't always everything either.
A large inheritance can actually be a burden, particularly an emotional one, for many reasons. It sometimes takes a lifetime of soul-searching and questioning to fathom things out, and even then the responsibility weighs heavily. It also redefines your life, and the privileges and entitlements it buys bring their own issues.
Are there feelings of guilt because a significant inheritance isn't the norm in society? Probably. Would you rather have fitted into mainstream society like everyone else? Possibly. Should you share out your good fortune? Undoubtedly. And so on.
It's complicated because you want to do right by the one who gifted the money, and right by your own offspring, and right by society.
It's sometimes a bit of a piggy in the middle situation with no real answers. People don't often look beyond the pound signs, and the more £s there are, the more questions are thrown up.