Just as a "notebook" can be a notebook or a portable computer, and a "slate" may or may not be a portable computer, a "printer" has multiple meanings. If you use the word in your writing, make sure the context makes it obvious what you are referring to.
(above) A person who operates a printing press is a
(above) A company that provides printing services is a
The owner of the company,
even if she or he never has ink-stained hands,
could still be called a
(above) The machine on your desk that prints is a
(above) The big machine that prints books is a
(above) The big machine that prints books on demand is a
DIGITAL PRINTING PRESS.
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Photos from USPS, Morris Printing Company, HP, Times92.com, Xerox