I dont understand your point. Slavery can be bad while a lottery based democracy can be good. There not related other than having the ability to exist at the same time? Slavery also existed in many voting based representative democracies like the Roman empire and American deomocratic republic.
Greek democracy was chosen at random through a lottery. It was extremely successful.
https://www.youtube.com/watch?v=LzbJacGGt1o&t=1270s
How often did slaves win the lottery?
I dont understand your point. Slavery can be bad while a lottery based democracy can be good. There not related other than having the ability to exist at the same time? Slavery also existed in many voting based representative democracies like the Roman empire and American deomocratic republic.