This is an EXTREMELY clever and complicated printer.
On the other hand, this definition is very vague...
http://etymonline.com/index.php?term=computer&allowed_in_fra...
The level of complication necessary is "can compute stuff". Whether you want to include any kind of functional transformation as a computation or not is up to you.
Example: Consider a hypothetical machine that implements standard SQL in hardware. Such a device would not be Turing-complete. Would you still call it a computer? I would.
EDIT: Thus a printer IS a computer, not for the procedural operations, but for that you can feed in some illegal input through the interface(no matter serial, peripheral or USB), and it will either send you back some complaint, or disconnect from you, or burn itself down.
It's common to trace the lineage of modern computers back through the Analytical Engine and the Difference engine to the Jacquard loom. And what the Jacquard loom is, is an apparatus which takes input in the form of a digital code and performs a distinct action for each possible value in the input. The Writer is also an apparatus which takes input in the form of a digital code and performs a distinct action for each possible value in the input.
The key difference is that the Jacquard loom's input is composite: It's a series of bits, each of which indicates whether a corresponding harness should be raised or lowered. That's enough of an incremental difference that I think it'd be totally fair to treat The Writer as another step back in the modern computer's lineage.
But I guess we can play the Sarah Palin game blaming the "media." :)