We are not sophisticated enough to get roads fixed and keep the water supply clean. Long way to go. Don't fall for people who tell you it can happen faster, until they have fixed the roads and cleaned the water in one town.
The argument being made is that the drivers of loss of jobs are progress, and the jobs being created as a result of this are not going equitably towards the people displaced.
The purpose of life argument isn't saying that you will have clean water and fixed roads when AI automates you out of the job, it's the opposite - you won't have a fixed road or clean water because you don't matter. The money ain't near you or your run-down, economically irrelevant, town.
There is no need to debate and discuss anything more if you have proof for the simplest case.
I don't understand your argument at all. It's unrelated to people being automated out of a job and the structure of our society changing. We aren't going towards a utopia where everything is perfect, we are talking about a stumbling forward into the unknown, all our crummy parts bolted onto us.