Wrong. The direction that humanity goes is based on the mythology, beliefs and will of the collective. You or I or anyone else has no idea what that will look like during the time you describe where AI and robots do every bit of work there is. So what you have described is the future you would create if everyone had your mentality. We'll be sure not to let you in the programmer's seat. Human groups used to want to hunt and gather and make mud huts and tipi's so thats what they got. Then some groups wanted to make bricks and concrete and build bigger things and tell stories and invent cuisine so thats what they got. Then some groups wanted to do agriculture and build pyramids and do astronomy so thats what they got. Then some groups wanted to make steel and make railroads and make cars. During 100% of this time and even into the present day there are groups of people still hunting and gathering, and still doing just about every other step listed. Our interests are myriad and they always will be. The difference between hunting and gathering and making computer chips is so vast that the hunter had no way of predicting the computer chip and the internet. By the same token none of us has the ability to guess what the next 200 years will bring.

The only thing we could guess is that humans will continue to do a wide variety of things just like we always have. And we could guess that our behaviors will be driven by our beliefs and the mythologies that we share a la Joseph Campbell.

There is a subset of people that watched Terminator, and bladerunner and read William Gibson, and they're certain that there's this dark dystopian future. IMO that is weak minded to just go along with someone else's shitty/brilliant imagination as if it's fact. But the more that dark mentality is shared, the more people will read it, the more people are influenced by it and it becomes a mythology which CAN steer reality. Yesterday's fantasy often becomes today's reality but only if people are too soft to come up with their own plan and work towards it.

So be careful what you promote and be careful what you throw your energy into.