Sure it does. But the point is to become an elite you first need to do something to get there. Its not like a lottery selects a few people and just gives them money. Its their money and earn it.
Therefore even the distinction of elite. They earn it, so they get it. Just like everybody else can.
People from other classes can't easily acquire money, even through hard work and pluck, if enough artificial barriers are created to block their entry into the upper class.