Wrong. Absolutely wrong. The opposite, in fact, is true.
For every programmer working overtime at his paid job as a Ruby on Rails rock-star producing an advertisement-backed web application, there need to be several more clocking out of their paid jobs at 5:01PM to go home and write open-source operating systems, languages, frameworks, and tools without being paid.
Because most of the time, the essential infrastructure all the paid businesses rely is created by unpaid volunteers working off the clock (or at least it started that way!), or even better: researchers.