How much of the "need" is intrinsic to humanity, and how much is it a product of the culture you live in?

Western culture ties the value of people to their work. The unemployed are "lazy" (itself a pejorative). The first question you ask someone you meet is "what do you do?" A lawyer is naturally more valuable than a postal clerk. (Despite an obvious example to the contrary. )

A lot of western jobs now are menial, or worse, useless. Lots of office jobs are, frankly, meaningless. Endlessly generating reports that no-one needs, or reads, isn't a path to massive self-worth.

In the US no job means no income. No health care. Your worth as a human approaches zero. In Europe, post war, there are far more social supports for the unemployed. That's a fundamental cultural difference. Asia is also culturally different in ways which are hard for US folk to comprehend.

For example there are 3 major political viewpoints; US capitalism, European socialism, and Chinese communism. Each appears to function well, and yet the US vilifies the others, while barely being able to tell them apart.

So, to return to your hypothesis of what "humans need", it may be less of that and more of "my culture needs". Which is perhaps going to come into play when predicting a post-labor economy in other cultures.