No.
Because success is individual, inequality is statistical.
It ia true that AI gives ordinary people a lot more chance to be successful.
But do not forget that success depends on lots of factors that are not in one’s control: knowing the right people, time being right for what you are doing, and lots of others. So while the mechanics of success is a lot different to lottery, it does not work much differently: 1 in 1M attempts are successful.
Yes, AI gives everyone more lottery tickets, but it gives rich people a lot more tickets.