Or even, how many researchers are working at McDonald's because their families' circumstances didn't afford them other opportunities, including ability to further their education?
Maybe not many, but I feel pretty confident that number is greater than 0.
I don't know of any studies, but I suspect there would be some.
In addition to the question of "how do we share income in a less-work world?", there is the question "how do we ensure that the are opportunities for everyone to contribute something meaningful to society?"
Ideally those questions would connect - we would use our increased product(ivity) to fund a wider range of human endeavours that might not have been considered "economically productive" in previous generations.
I don't know what that looks like, but I would hope it means more art and science, rather than more soul crushing, meaningless busy-work.