Technology is in the business of putting people out of work, by inventing better ways of doing things.

It feels like that but the argument doesn't hold up to scrutiny. Practically every advance in technology leads to more jobs, usually to apply that technology in new areas, or to bring the benefit to more people. There are pockets of people who are negatively impacted, but the overall change to society has been positive for pretty much every advance humans have ever made (maybe saving for weapons.)