It was an example of a job which can be automated (and as you pointed out, is already automated), but which is still dominated by human workers. You suggested that all the jobs done by humans can't be automated. My response is: most (or at least some) can, but aren't.

Sure, plumbing is a much more challenging example. But it is an economic problem. The cost to automate plumbing is much higher than the utility of it.