Those doors are still open to me, although I am poor as church mouse now.
Some four years ago, while living in a residential hotel in Cape Town, the male receptionist told me I stank of money. I told him that if I had money, I would hardly be staying there.
He said, "If you're born into it, you grow up with the polish, the right words, the way you carry yourself, the way you wear your clothes - and you never lose it."
A lot of this comes from the private schools you attend, the accent you speak with, a particular code of behaviour, etc.
In America, new wealth is accepted more easily by others who have acquired new wealth. However, I would assume that the doors to old wealth are still closed.