Yes! The world where you end up in a random position with zero influence over the outcome if you could pick it before you were born is the one you should strive to create. That one has true equality.
I like that idea, but I don't even think it has to be "perfect equality", just if you're not inclined to strive for more, or you lose your job to a computer, you don't have to go home and tell your family that there live is about to get much worse.
