I don't think a lottery system is a replacement for affirmative action, it would still not be representative of the racial makeup of our population.
And if rewarding hard work were the only criteria for admission, then legacy preferences wouldn't exist, either. That is the sort of thing affirmative action attempts to balance out.
I don't have an answer, and I hope that all who have earned an opportunity are rewarded. But whenever I see that a group is under-represented relative to population, I have to wonder what the reasons are and what can be done to help.
I am OK with having to work harder if it means someone who has had fewer opportunities, resources and support than me – not only in their lifetime, but for generations in their family – gets a boost.
It seems some are afraid of having to work as hard as someone who was not born with a silver spoon in their mouth.