Don't miss my very last paragraph. :)
To elaborate:
The total AMOUNT of wealth is growing, and its uneven distribution makes my point even more obvious.
Explain to me how you'd expect to get the following services in a "everyone has FU money with no robots doing the work":
Car repair, lawn mowed, anything built, groceries checked out, actually, anything at all.
The only reason these things work is because there's enough unequal distribution that _someone_ has to do something they don't really want to do, in order to give someone else something they'd like to have.
The traditional job is something that nobody wants to pay for doing, but almost everyone want to pay for having done.. In order for anyone to DO that job, they have to be poor enough to accept trading in their time for money.
I'm super lucky, as I'm almost doing the same thing at my job as I'd be doing in my free time, but I still take money for it, because, after all, I'd be writing slightly more interesting (to me) code if it was my hobby. It's just that my hobby won't make me rich, because my hobby is not in trying to turn a profit on my hobby.