I think it doesn’t work this way, because jobs and housing are not constant.
First, if the entire economy shrinks due to lower working population, there would be less well-paid jobs.
Second, housing is expensive in places where there are jobs, and it is likely that jobs would concentrate in smaller number of cities as population shrinks.
Note there are many small and large tweaks that could be done to jobs at all levels to reduce labor. Even without outright automation of the entire job. Companies have an incentive to do more of these tweaks when labor is scarce, and they have to pay more to bid for human workers for the elements of a task that aren’t yet automatible. This makes all jobs pay more.
I think it doesn’t work this way, because jobs and housing are not constant. First, if the entire economy shrinks due to lower working population, there would be less well-paid jobs. Second, housing is expensive in places where there are jobs, and it is likely that jobs would concentrate in smaller number of cities as population shrinks.
Note there are many small and large tweaks that could be done to jobs at all levels to reduce labor. Even without outright automation of the entire job. Companies have an incentive to do more of these tweaks when labor is scarce, and they have to pay more to bid for human workers for the elements of a task that aren’t yet automatible. This makes all jobs pay more.