It will make a lot more difference to those who are wealthy as well. But not in a good way.

USA Inc. with every citizen as shareholder would work like this: I earn $100K/y, my neighbour just $0/y. I pay $20K in taxes, he pays none. We both get $12K/y from BIG. For me it's a dividend. For my neighbour it's free money. So what's my incentive to work? Screw this, I quit. Now, USA Inc. get's $0/y from both of us. For 4 months we still get the cash, from the surplus. But that runs out, and now we both get $0 and are jobless.

BIG will only work if there are more people who work than those who don't work. Making things easier for people never actually helped them. Those who succeeded had to go through hard work.