This is a very important part of the equation and I think many miss. "Work" is not well defined. I often ask what people would do if money wasn't an issue and they didn't have to have a job[0]. Most people end up answering that they'd pursue passions like art, volunteering, doing research, or other things that many call "work" but might not pay (after they say they'd travel and do other things like that, of course (follow-up is always required)). A lot of work is not quantified by traditional economic transactions (i.e. pay for work). People don't want to sit around and do nothing their entire lives. The other thing is people also seem to forget that this is exactly the situation those from generational wealth are in, and that the vast majority of them do some form of work. Yes, there are those that don't (especially while younger) but the majority do.
I have a very hard time buying the narrative that were people to not work to make a living that they'd be a net drain on society. I see little evidence. I also see this as claiming that a post-scarce society is impossible. This is also critical as we live in a time where the potential for a post-scarce world exists (robotic workers liberate humanity from labor). It is even critical if we live in a semi or limited post scarce world, which is the transitional period to a post scarcity society (we're possibly in this).
[0] I say I'd like to read math books, research, and publish openly. Not far from what I do now (academia). People counter me saying that that's work.