To narrow the gap luck currently plays in life outcomes.
Currently, you are either born lucky, trust funds and generational real estate, or not.
More chances to be "lucky" would enable more opportunities for more people. And the OP suggests a negligible cost to make that happen.
If you take luck to be bad, this is not an improvement.
If you disagree, Why don't we just increase the number of people born with trust funds and generational wealth, at the cost to the rest of society.
This would have much the same effect as instituting the lottery.
Being lucky and winning a lottery is just as "unfair" as being lucky and being born to the right household.
More chances to be lucky can reduce a gap that today is mostly determined by the wealth you’re born into.
Bezos could have 10x or 10% of what he has now and it wouldn't change my life at all.
Every week, thousands of people will have their neighbors and friends suddenly complaining about having to pay $100K in taxes and planning to move out of the neighborhood.
Which society has less equality? one with one randomly 1 rich and 99 poor, or one with 10 randomly 10 rich and 90 even poorer.