We are only a means of production. If all of the means of production are automated, then we employees will be useless. The machines will do the production part. Why bother with employees when the machines will just create what their owners want? We will be cut out completely, and we will no longer have value.
Basically, for accounting purposes employees can be direct labor, indirect labor, or overhead. Direct labor is directly proportional to production (more production implies more direct labor hours). I suspect the jobs many of the people on slashdot work at ar already classified as indirect labor (e.g, IT support services, maintenance), or simply overhead (e.g., developers, managers, etc). Only those companies that are providing services directly to customers count IT services as direct labor, if it services internal customers, it's indirect labor (if it is somewhat proportional to production rates), or overhead (if it's relatively independent to production rates).
Simple automation and robotics have already cut most direct labor jobs to the bone (that whole "means of production" meme). Advanced automation and AI will now start cutting deeper into indirect labor and overhead jobs too.
FWIW, any job that is actually direct labor is probably proportional to sales of a company and would be relatively safe as long as the company is doing well (more sales would mean more direct labor required by definition). To achieve cost savings, in such a company, the owners would have to simply cut overhead jobs.