Because they believe they will turn a profit on the investment (in expectation). Next question
some computer and printer somewhere can easily reproduce the piece if I ever need it again [...] well-defined manufacturing cost
This is not as straightforward as some might think! Some people agree with you. Some don't. "Fake" is a spectrum as well. Is it a reproduction of an original work, or an original work falsely attributed to a particular artist? In the second case, if the quality is high and scholarship has emerged around that work, is it "less valuable" to own after it is revealed as fake (for one individual, not at market prices) or is it in a sense more interesting? Is it perpetrated to be real or simply a print? Even if it's an authentic creation of the artist, was the work been authorized outside of their canon in a less official way? What about photographs, and later editions of them (by either the artist themselves, their estate or family, a dealer, etc)? Check out Richard Prince and his "decertifications" of paintings.